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Finding the Fourth Proportional to 252,511.65, 378,785.70 and 152,456.40

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Solution

The fourth proportional to 252,511.65, 378,785.70 and 152,456.40 is: 228,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,511.65 : 378,785.70 = 152,456.40 : x
  2. Step 2: Convert to fraction form
    252,511.65/378,785.70 = 152,456.40/x
  3. Step 3: Cross multiply
    252,511.65x = 378,785.70 × 152,456.40
  4. Step 4: Simplify right side
    252,511.65x = 57,748,304,193.48
  5. Step 5: Solve for x
    x = 57,748,304,193.48/252,511.65
  6. Step 6: Final answer
    x = 228,695.60

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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.