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Finding the Fourth Proportional to 354,031.65, 530,973.68 and 129,497.85

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Solution

The fourth proportional to 354,031.65, 530,973.68 and 129,497.85 is: 194,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,031.65 : 530,973.68 = 129,497.85 : x
  2. Step 2: Convert to fraction form
    354,031.65/530,973.68 = 129,497.85/x
  3. Step 3: Cross multiply
    354,031.65x = 530,973.68 × 129,497.85
  4. Step 4: Simplify right side
    354,031.65x = 68,759,949,319.10
  5. Step 5: Solve for x
    x = 68,759,949,319.10/354,031.65
  6. Step 6: Final answer
    x = 194,219.78

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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.