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Finding the Fourth Proportional to 572,142.96, 858,256.56 and 151,416

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Solution

The fourth proportional to 572,142.96, 858,256.56 and 151,416 is: 227,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,142.96 : 858,256.56 = 151,416 : x
  2. Step 2: Convert to fraction form
    572,142.96/858,256.56 = 151,416/x
  3. Step 3: Cross multiply
    572,142.96x = 858,256.56 × 151,416
  4. Step 4: Simplify right side
    572,142.96x = 129,953,775,288.96
  5. Step 5: Solve for x
    x = 129,953,775,288.96/572,142.96
  6. Step 6: Final answer
    x = 227,135.15

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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.