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Finding the Fourth Proportional to 292,040.64, 438,197.28 and 287,323.20

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Solution

The fourth proportional to 292,040.64, 438,197.28 and 287,323.20 is: 431,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,040.64 : 438,197.28 = 287,323.20 : x
  2. Step 2: Convert to fraction form
    292,040.64/438,197.28 = 287,323.20/x
  3. Step 3: Cross multiply
    292,040.64x = 438,197.28 × 287,323.20
  4. Step 4: Simplify right side
    292,040.64x = 125,904,244,720.90
  5. Step 5: Solve for x
    x = 125,904,244,720.90/292,040.64
  6. Step 6: Final answer
    x = 431,118.92

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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.