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Finding the Fourth Proportional to 529,109.47, 729,965.28 and 299,614.06

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Solution

The fourth proportional to 529,109.47, 729,965.28 and 299,614.06 is: 413,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,109.47 : 729,965.28 = 299,614.06 : x
  2. Step 2: Convert to fraction form
    529,109.47/729,965.28 = 299,614.06/x
  3. Step 3: Cross multiply
    529,109.47x = 729,965.28 × 299,614.06
  4. Step 4: Simplify right side
    529,109.47x = 218,707,861,199.84
  5. Step 5: Solve for x
    x = 218,707,861,199.84/529,109.47
  6. Step 6: Final answer
    x = 413,350.87

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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.