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Finding the Fourth Proportional to 521,089.89, 719,053.23 and 291,633.49

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Solution

The fourth proportional to 521,089.89, 719,053.23 and 291,633.49 is: 402,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,089.89 : 719,053.23 = 291,633.49 : x
  2. Step 2: Convert to fraction form
    521,089.89/719,053.23 = 291,633.49/x
  3. Step 3: Cross multiply
    521,089.89x = 719,053.23 × 291,633.49
  4. Step 4: Simplify right side
    521,089.89x = 209,700,002,960.67
  5. Step 5: Solve for x
    x = 209,700,002,960.67/521,089.89
  6. Step 6: Final answer
    x = 402,425.78

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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.