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Finding the Fourth Proportional to 1,375,584,685.38, 1,898,337,731.49 and 780,813,142.02

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Solution

The fourth proportional to 1,375,584,685.38, 1,898,337,731.49 and 780,813,142.02 is: 1,077,539,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,584,685.38 : 1,898,337,731.49 = 780,813,142.02 : x
  2. Step 2: Convert to fraction form
    1,375,584,685.38/1,898,337,731.49 = 780,813,142.02/x
  3. Step 3: Cross multiply
    1,375,584,685.38x = 1,898,337,731.49 × 780,813,142.02
  4. Step 4: Simplify right side
    1,375,584,685.38x = 1,482,247,048,739,825,920
  5. Step 5: Solve for x
    x = 1,482,247,048,739,825,920/1,375,584,685.38
  6. Step 6: Final answer
    x = 1,077,539,656.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.