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Finding the Fourth Proportional to 542,842.60, 749,108.31 and 313,392.16

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Solution

The fourth proportional to 542,842.60, 749,108.31 and 313,392.16 is: 432,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,842.60 : 749,108.31 = 313,392.16 : x
  2. Step 2: Convert to fraction form
    542,842.60/749,108.31 = 313,392.16/x
  3. Step 3: Cross multiply
    542,842.60x = 749,108.31 × 313,392.16
  4. Step 4: Simplify right side
    542,842.60x = 234,764,671,344.85
  5. Step 5: Solve for x
    x = 234,764,671,344.85/542,842.60
  6. Step 6: Final answer
    x = 432,472.82

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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.