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Finding the Fourth Proportional to 542,944.90, 749,299.40 and 313,511.86

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Solution

The fourth proportional to 542,944.90, 749,299.40 and 313,511.86 is: 432,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,944.90 : 749,299.40 = 313,511.86 : x
  2. Step 2: Convert to fraction form
    542,944.90/749,299.40 = 313,511.86/x
  3. Step 3: Cross multiply
    542,944.90x = 749,299.40 × 313,511.86
  4. Step 4: Simplify right side
    542,944.90x = 234,914,248,590.88
  5. Step 5: Solve for x
    x = 234,914,248,590.88/542,944.90
  6. Step 6: Final answer
    x = 432,666.83

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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.