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Finding the Fourth Proportional to 521,358.24, 719,307.16 and 291,881.78

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Solution

The fourth proportional to 521,358.24, 719,307.16 and 291,881.78 is: 402,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,358.24 : 719,307.16 = 291,881.78 : x
  2. Step 2: Convert to fraction form
    521,358.24/719,307.16 = 291,881.78/x
  3. Step 3: Cross multiply
    521,358.24x = 719,307.16 × 291,881.78
  4. Step 4: Simplify right side
    521,358.24x = 209,952,654,227.55
  5. Step 5: Solve for x
    x = 209,952,654,227.55/521,358.24
  6. Step 6: Final answer
    x = 402,703.24

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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.