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Finding the Fourth Proportional to 313,862.28, 470,987.28 and 124,290.72

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Solution

The fourth proportional to 313,862.28, 470,987.28 and 124,290.72 is: 186,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,862.28 : 470,987.28 = 124,290.72 : x
  2. Step 2: Convert to fraction form
    313,862.28/470,987.28 = 124,290.72/x
  3. Step 3: Cross multiply
    313,862.28x = 470,987.28 × 124,290.72
  4. Step 4: Simplify right side
    313,862.28x = 58,539,348,142.04
  5. Step 5: Solve for x
    x = 58,539,348,142.04/313,862.28
  6. Step 6: Final answer
    x = 186,512.85

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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.