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Finding the Fourth Proportional to 413,459.31, 619,358.56 and 188,510.30

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Solution

The fourth proportional to 413,459.31, 619,358.56 and 188,510.30 is: 282,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,459.31 : 619,358.56 = 188,510.30 : x
  2. Step 2: Convert to fraction form
    413,459.31/619,358.56 = 188,510.30/x
  3. Step 3: Cross multiply
    413,459.31x = 619,358.56 × 188,510.30
  4. Step 4: Simplify right side
    413,459.31x = 116,755,468,904.13
  5. Step 5: Solve for x
    x = 116,755,468,904.13/413,459.31
  6. Step 6: Final answer
    x = 282,386.84

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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.