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Finding the Fourth Proportional to 390,040.96, 584,765.12 and 123,648

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Solution

The fourth proportional to 390,040.96, 584,765.12 and 123,648 is: 185,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,040.96 : 584,765.12 = 123,648 : x
  2. Step 2: Convert to fraction form
    390,040.96/584,765.12 = 123,648/x
  3. Step 3: Cross multiply
    390,040.96x = 584,765.12 × 123,648
  4. Step 4: Simplify right side
    390,040.96x = 72,305,037,557.76
  5. Step 5: Solve for x
    x = 72,305,037,557.76/390,040.96
  6. Step 6: Final answer
    x = 185,378.06

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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.