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Finding the Fourth Proportional to 407,386.80, 611,115.76 and 167,515.30

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Solution

The fourth proportional to 407,386.80, 611,115.76 and 167,515.30 is: 251,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,386.80 : 611,115.76 = 167,515.30 : x
  2. Step 2: Convert to fraction form
    407,386.80/611,115.76 = 167,515.30/x
  3. Step 3: Cross multiply
    407,386.80x = 611,115.76 × 167,515.30
  4. Step 4: Simplify right side
    407,386.80x = 102,371,239,871.13
  5. Step 5: Solve for x
    x = 102,371,239,871.13/407,386.80
  6. Step 6: Final answer
    x = 251,287.57

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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.