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Finding the Fourth Proportional to 292,219.72, 438,342.06 and 114,765.20

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Solution

The fourth proportional to 292,219.72, 438,342.06 and 114,765.20 is: 172,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,219.72 : 438,342.06 = 114,765.20 : x
  2. Step 2: Convert to fraction form
    292,219.72/438,342.06 = 114,765.20/x
  3. Step 3: Cross multiply
    292,219.72x = 438,342.06 × 114,765.20
  4. Step 4: Simplify right side
    292,219.72x = 50,306,414,184.31
  5. Step 5: Solve for x
    x = 50,306,414,184.31/292,219.72
  6. Step 6: Final answer
    x = 172,152.70

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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.