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Finding the Fourth Proportional to 314,915.40, 472,230.95 and 90,224.42

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Solution

The fourth proportional to 314,915.40, 472,230.95 and 90,224.42 is: 135,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,915.40 : 472,230.95 = 90,224.42 : x
  2. Step 2: Convert to fraction form
    314,915.40/472,230.95 = 90,224.42/x
  3. Step 3: Cross multiply
    314,915.40x = 472,230.95 × 90,224.42
  4. Step 4: Simplify right side
    314,915.40x = 42,606,760,757.52
  5. Step 5: Solve for x
    x = 42,606,760,757.52/314,915.40
  6. Step 6: Final answer
    x = 135,295.89

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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.