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Finding the Fourth Proportional to 314,924.80, 472,387.20 and 287,368.60

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Solution

The fourth proportional to 314,924.80, 472,387.20 and 287,368.60 is: 431,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,924.80 : 472,387.20 = 287,368.60 : x
  2. Step 2: Convert to fraction form
    314,924.80/472,387.20 = 287,368.60/x
  3. Step 3: Cross multiply
    314,924.80x = 472,387.20 × 287,368.60
  4. Step 4: Simplify right side
    314,924.80x = 135,749,248,321.92
  5. Step 5: Solve for x
    x = 135,749,248,321.92/314,924.80
  6. Step 6: Final answer
    x = 431,052.90

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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.