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Finding the Fourth Proportional to 431,200.70, 646,801.05 and 424,202.30

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Solution

The fourth proportional to 431,200.70, 646,801.05 and 424,202.30 is: 636,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,200.70 : 646,801.05 = 424,202.30 : x
  2. Step 2: Convert to fraction form
    431,200.70/646,801.05 = 424,202.30/x
  3. Step 3: Cross multiply
    431,200.70x = 646,801.05 × 424,202.30
  4. Step 4: Simplify right side
    431,200.70x = 274,374,493,052.42
  5. Step 5: Solve for x
    x = 274,374,493,052.42/431,200.70
  6. Step 6: Final answer
    x = 636,303.45

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Similar ratio
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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.