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Finding the Fourth Proportional to 292,548.70, 438,824.71 and 90,142.15

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Solution

The fourth proportional to 292,548.70, 438,824.71 and 90,142.15 is: 135,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,548.70 : 438,824.71 = 90,142.15 : x
  2. Step 2: Convert to fraction form
    292,548.70/438,824.71 = 90,142.15/x
  3. Step 3: Cross multiply
    292,548.70x = 438,824.71 × 90,142.15
  4. Step 4: Simplify right side
    292,548.70x = 39,556,602,832.53
  5. Step 5: Solve for x
    x = 39,556,602,832.53/292,548.70
  6. Step 6: Final answer
    x = 135,213.74

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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.