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Finding the Fourth Proportional to 314,931.20, 471,244.80 and 231,987.20

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Solution

The fourth proportional to 314,931.20, 471,244.80 and 231,987.20 is: 347,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,931.20 : 471,244.80 = 231,987.20 : x
  2. Step 2: Convert to fraction form
    314,931.20/471,244.80 = 231,987.20/x
  3. Step 3: Cross multiply
    314,931.20x = 471,244.80 × 231,987.20
  4. Step 4: Simplify right side
    314,931.20x = 109,322,761,666.56
  5. Step 5: Solve for x
    x = 109,322,761,666.56/314,931.20
  6. Step 6: Final answer
    x = 347,132.20

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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.