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Finding the Fourth Proportional to 386,698.17, 580,047.30 and 120,480.15

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Solution

The fourth proportional to 386,698.17, 580,047.30 and 120,480.15 is: 180,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,698.17 : 580,047.30 = 120,480.15 : x
  2. Step 2: Convert to fraction form
    386,698.17/580,047.30 = 120,480.15/x
  3. Step 3: Cross multiply
    386,698.17x = 580,047.30 × 120,480.15
  4. Step 4: Simplify right side
    386,698.17x = 69,884,185,711.10
  5. Step 5: Solve for x
    x = 69,884,185,711.10/386,698.17
  6. Step 6: Final answer
    x = 180,720.24

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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.