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Finding the Fourth Proportional to 561,686.16, 775,072.08 and 319,949.76

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Solution

The fourth proportional to 561,686.16, 775,072.08 and 319,949.76 is: 441,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,686.16 : 775,072.08 = 319,949.76 : x
  2. Step 2: Convert to fraction form
    561,686.16/775,072.08 = 319,949.76/x
  3. Step 3: Cross multiply
    561,686.16x = 775,072.08 × 319,949.76
  4. Step 4: Simplify right side
    561,686.16x = 247,984,125,978.70
  5. Step 5: Solve for x
    x = 247,984,125,978.70/561,686.16
  6. Step 6: Final answer
    x = 441,499.44

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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.