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Finding the Fourth Proportional to 561,438.80, 774,829.68 and 319,731.56

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Solution

The fourth proportional to 561,438.80, 774,829.68 and 319,731.56 is: 441,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,438.80 : 774,829.68 = 319,731.56 : x
  2. Step 2: Convert to fraction form
    561,438.80/774,829.68 = 319,731.56/x
  3. Step 3: Cross multiply
    561,438.80x = 774,829.68 × 319,731.56
  4. Step 4: Simplify right side
    561,438.80x = 247,737,502,320.70
  5. Step 5: Solve for x
    x = 247,737,502,320.70/561,438.80
  6. Step 6: Final answer
    x = 441,254.69

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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.