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Finding the Fourth Proportional to 542,798.34, 749,151.33 and 301,158.78

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Solution

The fourth proportional to 542,798.34, 749,151.33 and 301,158.78 is: 415,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,798.34 : 749,151.33 = 301,158.78 : x
  2. Step 2: Convert to fraction form
    542,798.34/749,151.33 = 301,158.78/x
  3. Step 3: Cross multiply
    542,798.34x = 749,151.33 × 301,158.78
  4. Step 4: Simplify right side
    542,798.34x = 225,613,500,578.18
  5. Step 5: Solve for x
    x = 225,613,500,578.18/542,798.34
  6. Step 6: Final answer
    x = 415,648.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.