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Finding the Fourth Proportional to 382,685.30, 574,246.65 and 146,197.70

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Solution

The fourth proportional to 382,685.30, 574,246.65 and 146,197.70 is: 219,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,685.30 : 574,246.65 = 146,197.70 : x
  2. Step 2: Convert to fraction form
    382,685.30/574,246.65 = 146,197.70/x
  3. Step 3: Cross multiply
    382,685.30x = 574,246.65 × 146,197.70
  4. Step 4: Simplify right side
    382,685.30x = 83,953,539,462.71
  5. Step 5: Solve for x
    x = 83,953,539,462.71/382,685.30
  6. Step 6: Final answer
    x = 219,380.10

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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.