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Finding the Fourth Proportional to 561,508.61, 774,882.32 and 306,859.86

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Solution

The fourth proportional to 561,508.61, 774,882.32 and 306,859.86 is: 423,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,508.61 : 774,882.32 = 306,859.86 : x
  2. Step 2: Convert to fraction form
    561,508.61/774,882.32 = 306,859.86/x
  3. Step 3: Cross multiply
    561,508.61x = 774,882.32 × 306,859.86
  4. Step 4: Simplify right side
    561,508.61x = 237,780,278,697.38
  5. Step 5: Solve for x
    x = 237,780,278,697.38/561,508.61
  6. Step 6: Final answer
    x = 423,466.85

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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.