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Finding the Fourth Proportional to 430,263.14, 645,103.53 and 240,854.28

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Solution

The fourth proportional to 430,263.14, 645,103.53 and 240,854.28 is: 361,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,263.14 : 645,103.53 = 240,854.28 : x
  2. Step 2: Convert to fraction form
    430,263.14/645,103.53 = 240,854.28/x
  3. Step 3: Cross multiply
    430,263.14x = 645,103.53 × 240,854.28
  4. Step 4: Simplify right side
    430,263.14x = 155,375,946,243.61
  5. Step 5: Solve for x
    x = 155,375,946,243.61/430,263.14
  6. Step 6: Final answer
    x = 361,118.43

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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.