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Finding the Fourth Proportional to 355,643.80, 532,817.70 and 281,253.40

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Solution

The fourth proportional to 355,643.80, 532,817.70 and 281,253.40 is: 421,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,643.80 : 532,817.70 = 281,253.40 : x
  2. Step 2: Convert to fraction form
    355,643.80/532,817.70 = 281,253.40/x
  3. Step 3: Cross multiply
    355,643.80x = 532,817.70 × 281,253.40
  4. Step 4: Simplify right side
    355,643.80x = 149,856,789,705.18
  5. Step 5: Solve for x
    x = 149,856,789,705.18/355,643.80
  6. Step 6: Final answer
    x = 421,367.64

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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.