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Finding the Fourth Proportional to 461,007.36, 691,511.16 and 145,488.96

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Solution

The fourth proportional to 461,007.36, 691,511.16 and 145,488.96 is: 218,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,007.36 : 691,511.16 = 145,488.96 : x
  2. Step 2: Convert to fraction form
    461,007.36/691,511.16 = 145,488.96/x
  3. Step 3: Cross multiply
    461,007.36x = 691,511.16 × 145,488.96
  4. Step 4: Simplify right side
    461,007.36x = 100,607,239,496.79
  5. Step 5: Solve for x
    x = 100,607,239,496.79/461,007.36
  6. Step 6: Final answer
    x = 218,233.48

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Similar ratio
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1.5x scale

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.