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Finding the Fourth Proportional to 314,824.40, 472,294.20 and 127,854.80

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Solution

The fourth proportional to 314,824.40, 472,294.20 and 127,854.80 is: 191,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,824.40 : 472,294.20 = 127,854.80 : x
  2. Step 2: Convert to fraction form
    314,824.40/472,294.20 = 127,854.80/x
  3. Step 3: Cross multiply
    314,824.40x = 472,294.20 × 127,854.80
  4. Step 4: Simplify right side
    314,824.40x = 60,385,080,482.16
  5. Step 5: Solve for x
    x = 60,385,080,482.16/314,824.40
  6. Step 6: Final answer
    x = 191,805.59

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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.