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Finding the Fourth Proportional to 352,253.52, 528,478.56 and 142,038

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Solution

The fourth proportional to 352,253.52, 528,478.56 and 142,038 is: 213,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,253.52 : 528,478.56 = 142,038 : x
  2. Step 2: Convert to fraction form
    352,253.52/528,478.56 = 142,038/x
  3. Step 3: Cross multiply
    352,253.52x = 528,478.56 × 142,038
  4. Step 4: Simplify right side
    352,253.52x = 75,064,037,705.28
  5. Step 5: Solve for x
    x = 75,064,037,705.28/352,253.52
  6. Step 6: Final answer
    x = 213,096.63

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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.