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Finding the Fourth Proportional to 532,612.43, 735,021.08 and 290,906.40

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Solution

The fourth proportional to 532,612.43, 735,021.08 and 290,906.40 is: 401,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,612.43 : 735,021.08 = 290,906.40 : x
  2. Step 2: Convert to fraction form
    532,612.43/735,021.08 = 290,906.40/x
  3. Step 3: Cross multiply
    532,612.43x = 735,021.08 × 290,906.40
  4. Step 4: Simplify right side
    532,612.43x = 213,822,336,306.91
  5. Step 5: Solve for x
    x = 213,822,336,306.91/532,612.43
  6. Step 6: Final answer
    x = 401,459.53

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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.