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Finding the Fourth Proportional to 292,314.24, 438,549.12 and 92,640

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Solution

The fourth proportional to 292,314.24, 438,549.12 and 92,640 is: 138,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,314.24 : 438,549.12 = 92,640 : x
  2. Step 2: Convert to fraction form
    292,314.24/438,549.12 = 92,640/x
  3. Step 3: Cross multiply
    292,314.24x = 438,549.12 × 92,640
  4. Step 4: Simplify right side
    292,314.24x = 40,627,190,476.80
  5. Step 5: Solve for x
    x = 40,627,190,476.80/292,314.24
  6. Step 6: Final answer
    x = 138,984.64

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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.