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Finding the Fourth Proportional to 376,464.48, 564,780.96 and 127,140

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Solution

The fourth proportional to 376,464.48, 564,780.96 and 127,140 is: 190,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,464.48 : 564,780.96 = 127,140 : x
  2. Step 2: Convert to fraction form
    376,464.48/564,780.96 = 127,140/x
  3. Step 3: Cross multiply
    376,464.48x = 564,780.96 × 127,140
  4. Step 4: Simplify right side
    376,464.48x = 71,806,251,254.40
  5. Step 5: Solve for x
    x = 71,806,251,254.40/376,464.48
  6. Step 6: Final answer
    x = 190,738.45

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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.