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Finding the Fourth Proportional to 542,938.91, 749,291.12 and 313,505.87

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Solution

The fourth proportional to 542,938.91, 749,291.12 and 313,505.87 is: 432,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,938.91 : 749,291.12 = 313,505.87 : x
  2. Step 2: Convert to fraction form
    542,938.91/749,291.12 = 313,505.87/x
  3. Step 3: Cross multiply
    542,938.91x = 749,291.12 × 313,505.87
  4. Step 4: Simplify right side
    542,938.91x = 234,907,159,144.89
  5. Step 5: Solve for x
    x = 234,907,159,144.89/542,938.91
  6. Step 6: Final answer
    x = 432,658.55

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1.5x scale

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.