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Finding the Fourth Proportional to 292,402.20, 438,384.60 and 159,432.60

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Solution

The fourth proportional to 292,402.20, 438,384.60 and 159,432.60 is: 239,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,402.20 : 438,384.60 = 159,432.60 : x
  2. Step 2: Convert to fraction form
    292,402.20/438,384.60 = 159,432.60/x
  3. Step 3: Cross multiply
    292,402.20x = 438,384.60 × 159,432.60
  4. Step 4: Simplify right side
    292,402.20x = 69,892,796,577.96
  5. Step 5: Solve for x
    x = 69,892,796,577.96/292,402.20
  6. Step 6: Final answer
    x = 239,029.65

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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.