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Finding the Fourth Proportional to 639,280,143.80, 959,368,113.30 and 409,807,273.40

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Solution

The fourth proportional to 639,280,143.80, 959,368,113.30 and 409,807,273.40 is: 614,998,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,280,143.80 : 959,368,113.30 = 409,807,273.40 : x
  2. Step 2: Convert to fraction form
    639,280,143.80/959,368,113.30 = 409,807,273.40/x
  3. Step 3: Cross multiply
    639,280,143.80x = 959,368,113.30 × 409,807,273.40
  4. Step 4: Simplify right side
    639,280,143.80x = 393,156,030,698,375,232
  5. Step 5: Solve for x
    x = 393,156,030,698,375,232/639,280,143.80
  6. Step 6: Final answer
    x = 614,998,032.57

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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.