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Finding the Fourth Proportional to 409,802.13, 614,703.20 and 129,341.25

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Solution

The fourth proportional to 409,802.13, 614,703.20 and 129,341.25 is: 194,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,802.13 : 614,703.20 = 129,341.25 : x
  2. Step 2: Convert to fraction form
    409,802.13/614,703.20 = 129,341.25/x
  3. Step 3: Cross multiply
    409,802.13x = 614,703.20 × 129,341.25
  4. Step 4: Simplify right side
    409,802.13x = 79,506,479,620.29
  5. Step 5: Solve for x
    x = 79,506,479,620.29/409,802.13
  6. Step 6: Final answer
    x = 194,011.88

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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.