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Finding the Fourth Proportional to 510,229.35, 703,957.98 and 289,430.25

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Solution

The fourth proportional to 510,229.35, 703,957.98 and 289,430.25 is: 399,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,229.35 : 703,957.98 = 289,430.25 : x
  2. Step 2: Convert to fraction form
    510,229.35/703,957.98 = 289,430.25/x
  3. Step 3: Cross multiply
    510,229.35x = 703,957.98 × 289,430.25
  4. Step 4: Simplify right side
    510,229.35x = 203,746,734,140.90
  5. Step 5: Solve for x
    x = 203,746,734,140.90/510,229.35
  6. Step 6: Final answer
    x = 399,323.82

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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.