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Finding the Fourth Proportional to 312,486, 468,808.92 and 90,870

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Solution

The fourth proportional to 312,486, 468,808.92 and 90,870 is: 136,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,486 : 468,808.92 = 90,870 : x
  2. Step 2: Convert to fraction form
    312,486/468,808.92 = 90,870/x
  3. Step 3: Cross multiply
    312,486x = 468,808.92 × 90,870
  4. Step 4: Simplify right side
    312,486x = 42,600,666,560.40
  5. Step 5: Solve for x
    x = 42,600,666,560.40/312,486
  6. Step 6: Final answer
    x = 136,328.24

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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.