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Finding the Fourth Proportional to 354,747.60, 532,121.40 and 284,763.60

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Solution

The fourth proportional to 354,747.60, 532,121.40 and 284,763.60 is: 427,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,747.60 : 532,121.40 = 284,763.60 : x
  2. Step 2: Convert to fraction form
    354,747.60/532,121.40 = 284,763.60/x
  3. Step 3: Cross multiply
    354,747.60x = 532,121.40 × 284,763.60
  4. Step 4: Simplify right side
    354,747.60x = 151,528,805,501.04
  5. Step 5: Solve for x
    x = 151,528,805,501.04/354,747.60
  6. Step 6: Final answer
    x = 427,145.40

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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.