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Finding the Fourth Proportional to 318,210.18, 477,306.72 and 78,326.22

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Solution

The fourth proportional to 318,210.18, 477,306.72 and 78,326.22 is: 117,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,210.18 : 477,306.72 = 78,326.22 : x
  2. Step 2: Convert to fraction form
    318,210.18/477,306.72 = 78,326.22/x
  3. Step 3: Cross multiply
    318,210.18x = 477,306.72 × 78,326.22
  4. Step 4: Simplify right side
    318,210.18x = 37,385,631,158.20
  5. Step 5: Solve for x
    x = 37,385,631,158.20/318,210.18
  6. Step 6: Final answer
    x = 117,487.23

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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.