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Finding the Fourth Proportional to 514,903,755.69, 710,591,475.47 and 291,889,759.68

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Solution

The fourth proportional to 514,903,755.69, 710,591,475.47 and 291,889,759.68 is: 402,821,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,903,755.69 : 710,591,475.47 = 291,889,759.68 : x
  2. Step 2: Convert to fraction form
    514,903,755.69/710,591,475.47 = 291,889,759.68/x
  3. Step 3: Cross multiply
    514,903,755.69x = 710,591,475.47 × 291,889,759.68
  4. Step 4: Simplify right side
    514,903,755.69x = 207,414,375,004,135,488
  5. Step 5: Solve for x
    x = 207,414,375,004,135,488/514,903,755.69
  6. Step 6: Final answer
    x = 402,821,639.41

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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.