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Finding the Fourth Proportional to 312,272.74, 468,422.07 and 90,656.74

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Solution

The fourth proportional to 312,272.74, 468,422.07 and 90,656.74 is: 135,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,272.74 : 468,422.07 = 90,656.74 : x
  2. Step 2: Convert to fraction form
    312,272.74/468,422.07 = 90,656.74/x
  3. Step 3: Cross multiply
    312,272.74x = 468,422.07 × 90,656.74
  4. Step 4: Simplify right side
    312,272.74x = 42,465,617,810.25
  5. Step 5: Solve for x
    x = 42,465,617,810.25/312,272.74
  6. Step 6: Final answer
    x = 135,988.87

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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.