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Finding the Fourth Proportional to 292,540.32, 438,478.64 and 134,442

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Solution

The fourth proportional to 292,540.32, 438,478.64 and 134,442 is: 201,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,540.32 : 438,478.64 = 134,442 : x
  2. Step 2: Convert to fraction form
    292,540.32/438,478.64 = 134,442/x
  3. Step 3: Cross multiply
    292,540.32x = 438,478.64 × 134,442
  4. Step 4: Simplify right side
    292,540.32x = 58,949,945,318.88
  5. Step 5: Solve for x
    x = 58,949,945,318.88/292,540.32
  6. Step 6: Final answer
    x = 201,510.50

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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.