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Finding the Fourth Proportional to 502,785.40, 754,178.10 and 147,835.30

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Solution

The fourth proportional to 502,785.40, 754,178.10 and 147,835.30 is: 221,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,785.40 : 754,178.10 = 147,835.30 : x
  2. Step 2: Convert to fraction form
    502,785.40/754,178.10 = 147,835.30/x
  3. Step 3: Cross multiply
    502,785.40x = 754,178.10 × 147,835.30
  4. Step 4: Simplify right side
    502,785.40x = 111,494,145,666.93
  5. Step 5: Solve for x
    x = 111,494,145,666.93/502,785.40
  6. Step 6: Final answer
    x = 221,752.95

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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.