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Finding the Fourth Proportional to 355,642.80, 532,816.20 and 281,252.40

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Solution

The fourth proportional to 355,642.80, 532,816.20 and 281,252.40 is: 421,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,642.80 : 532,816.20 = 281,252.40 : x
  2. Step 2: Convert to fraction form
    355,642.80/532,816.20 = 281,252.40/x
  3. Step 3: Cross multiply
    355,642.80x = 532,816.20 × 281,252.40
  4. Step 4: Simplify right side
    355,642.80x = 149,855,835,008.88
  5. Step 5: Solve for x
    x = 149,855,835,008.88/355,642.80
  6. Step 6: Final answer
    x = 421,366.14

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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.