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Finding the Fourth Proportional to 312,611.13, 468,531.93 and 177,788.34

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Solution

The fourth proportional to 312,611.13, 468,531.93 and 177,788.34 is: 266,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,611.13 : 468,531.93 = 177,788.34 : x
  2. Step 2: Convert to fraction form
    312,611.13/468,531.93 = 177,788.34/x
  3. Step 3: Cross multiply
    312,611.13x = 468,531.93 × 177,788.34
  4. Step 4: Simplify right side
    312,611.13x = 83,299,514,071.70
  5. Step 5: Solve for x
    x = 83,299,514,071.70/312,611.13
  6. Step 6: Final answer
    x = 266,463.69

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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.