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Finding the Fourth Proportional to 342,125.70, 513,480.15 and 152,877.30

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Solution

The fourth proportional to 342,125.70, 513,480.15 and 152,877.30 is: 229,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,125.70 : 513,480.15 = 152,877.30 : x
  2. Step 2: Convert to fraction form
    342,125.70/513,480.15 = 152,877.30/x
  3. Step 3: Cross multiply
    342,125.70x = 513,480.15 × 152,877.30
  4. Step 4: Simplify right side
    342,125.70x = 78,499,458,935.60
  5. Step 5: Solve for x
    x = 78,499,458,935.60/342,125.70
  6. Step 6: Final answer
    x = 229,446.25

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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.