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Finding the Fourth Proportional to 347,732.80, 521,210.40 and 148,019.20

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Solution

The fourth proportional to 347,732.80, 521,210.40 and 148,019.20 is: 221,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,732.80 : 521,210.40 = 148,019.20 : x
  2. Step 2: Convert to fraction form
    347,732.80/521,210.40 = 148,019.20/x
  3. Step 3: Cross multiply
    347,732.80x = 521,210.40 × 148,019.20
  4. Step 4: Simplify right side
    347,732.80x = 77,149,146,439.68
  5. Step 5: Solve for x
    x = 77,149,146,439.68/347,732.80
  6. Step 6: Final answer
    x = 221,863.30

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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.