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Finding the Fourth Proportional to 457,007.40, 685,511.10 and 120,025.80

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Solution

The fourth proportional to 457,007.40, 685,511.10 and 120,025.80 is: 180,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,007.40 : 685,511.10 = 120,025.80 : x
  2. Step 2: Convert to fraction form
    457,007.40/685,511.10 = 120,025.80/x
  3. Step 3: Cross multiply
    457,007.40x = 685,511.10 × 120,025.80
  4. Step 4: Simplify right side
    457,007.40x = 82,279,018,186.38
  5. Step 5: Solve for x
    x = 82,279,018,186.38/457,007.40
  6. Step 6: Final answer
    x = 180,038.70

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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.