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Finding the Fourth Proportional to 314,938.97, 472,432.14 and 90,297.62

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Solution

The fourth proportional to 314,938.97, 472,432.14 and 90,297.62 is: 135,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938.97 : 472,432.14 = 90,297.62 : x
  2. Step 2: Convert to fraction form
    314,938.97/472,432.14 = 90,297.62/x
  3. Step 3: Cross multiply
    314,938.97x = 472,432.14 × 90,297.62
  4. Step 4: Simplify right side
    314,938.97x = 42,659,495,491.35
  5. Step 5: Solve for x
    x = 42,659,495,491.35/314,938.97
  6. Step 6: Final answer
    x = 135,453.22

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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.