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Finding the Fourth Proportional to 398,057.15, 597,127.65 and 229,573.71

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Solution

The fourth proportional to 398,057.15, 597,127.65 and 229,573.71 is: 344,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,057.15 : 597,127.65 = 229,573.71 : x
  2. Step 2: Convert to fraction form
    398,057.15/597,127.65 = 229,573.71/x
  3. Step 3: Cross multiply
    398,057.15x = 597,127.65 × 229,573.71
  4. Step 4: Simplify right side
    398,057.15x = 137,084,808,806.21
  5. Step 5: Solve for x
    x = 137,084,808,806.21/398,057.15
  6. Step 6: Final answer
    x = 344,384.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.