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Finding the Fourth Proportional to 521,663.32, 719,552.46 and 408,289.24

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Solution

The fourth proportional to 521,663.32, 719,552.46 and 408,289.24 is: 563,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,663.32 : 719,552.46 = 408,289.24 : x
  2. Step 2: Convert to fraction form
    521,663.32/719,552.46 = 408,289.24/x
  3. Step 3: Cross multiply
    521,663.32x = 719,552.46 × 408,289.24
  4. Step 4: Simplify right side
    521,663.32x = 293,785,527,033.53
  5. Step 5: Solve for x
    x = 293,785,527,033.53/521,663.32
  6. Step 6: Final answer
    x = 563,170.76

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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.