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Finding the Fourth Proportional to 292,289.92, 438,175.68 and 142,446.40

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Solution

The fourth proportional to 292,289.92, 438,175.68 and 142,446.40 is: 213,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,289.92 : 438,175.68 = 142,446.40 : x
  2. Step 2: Convert to fraction form
    292,289.92/438,175.68 = 142,446.40/x
  3. Step 3: Cross multiply
    292,289.92x = 438,175.68 × 142,446.40
  4. Step 4: Simplify right side
    292,289.92x = 62,416,548,183.55
  5. Step 5: Solve for x
    x = 62,416,548,183.55/292,289.92
  6. Step 6: Final answer
    x = 213,543.28

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1.5x scale

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.