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Finding the Fourth Proportional to 407,061.69, 610,648.08 and 140,750.70

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Solution

The fourth proportional to 407,061.69, 610,648.08 and 140,750.70 is: 211,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,061.69 : 610,648.08 = 140,750.70 : x
  2. Step 2: Convert to fraction form
    407,061.69/610,648.08 = 140,750.70/x
  3. Step 3: Cross multiply
    407,061.69x = 610,648.08 × 140,750.70
  4. Step 4: Simplify right side
    407,061.69x = 85,949,144,713.66
  5. Step 5: Solve for x
    x = 85,949,144,713.66/407,061.69
  6. Step 6: Final answer
    x = 211,145.26

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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.