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Finding the Fourth Proportional to 292,138.01, 438,255.44 and 102,549.20

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Solution

The fourth proportional to 292,138.01, 438,255.44 and 102,549.20 is: 153,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,138.01 : 438,255.44 = 102,549.20 : x
  2. Step 2: Convert to fraction form
    292,138.01/438,255.44 = 102,549.20/x
  3. Step 3: Cross multiply
    292,138.01x = 438,255.44 × 102,549.20
  4. Step 4: Simplify right side
    292,138.01x = 44,942,744,767.65
  5. Step 5: Solve for x
    x = 44,942,744,767.65/292,138.01
  6. Step 6: Final answer
    x = 153,840.80

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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.