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Finding the Fourth Proportional to 1,209,509,978.40, 1,814,600,890.80 and 519,747,674.40

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Solution

The fourth proportional to 1,209,509,978.40, 1,814,600,890.80 and 519,747,674.40 is: 779,765,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,509,978.40 : 1,814,600,890.80 = 519,747,674.40 : x
  2. Step 2: Convert to fraction form
    1,209,509,978.40/1,814,600,890.80 = 519,747,674.40/x
  3. Step 3: Cross multiply
    1,209,509,978.40x = 1,814,600,890.80 × 519,747,674.40
  4. Step 4: Simplify right side
    1,209,509,978.40x = 943,134,592,957,468,288
  5. Step 5: Solve for x
    x = 943,134,592,957,468,288/1,209,509,978.40
  6. Step 6: Final answer
    x = 779,765,863.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.