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Finding the Fourth Proportional to 564,961.95, 847,444.32 and 138,499.65

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Solution

The fourth proportional to 564,961.95, 847,444.32 and 138,499.65 is: 207,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,961.95 : 847,444.32 = 138,499.65 : x
  2. Step 2: Convert to fraction form
    564,961.95/847,444.32 = 138,499.65/x
  3. Step 3: Cross multiply
    564,961.95x = 847,444.32 × 138,499.65
  4. Step 4: Simplify right side
    564,961.95x = 117,370,741,714.49
  5. Step 5: Solve for x
    x = 117,370,741,714.49/564,961.95
  6. Step 6: Final answer
    x = 207,749.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.