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Finding the Fourth Proportional to 521,949.42, 720,256.10 and 307,047.97

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Solution

The fourth proportional to 521,949.42, 720,256.10 and 307,047.97 is: 423,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,949.42 : 720,256.10 = 307,047.97 : x
  2. Step 2: Convert to fraction form
    521,949.42/720,256.10 = 307,047.97/x
  3. Step 3: Cross multiply
    521,949.42x = 720,256.10 × 307,047.97
  4. Step 4: Simplify right side
    521,949.42x = 221,153,170,425.90
  5. Step 5: Solve for x
    x = 221,153,170,425.90/521,949.42
  6. Step 6: Final answer
    x = 423,706.13

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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.