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Finding the Fourth Proportional to 431,142.80, 646,714.20 and 424,144.40

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Solution

The fourth proportional to 431,142.80, 646,714.20 and 424,144.40 is: 636,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,142.80 : 646,714.20 = 424,144.40 : x
  2. Step 2: Convert to fraction form
    431,142.80/646,714.20 = 424,144.40/x
  3. Step 3: Cross multiply
    431,142.80x = 646,714.20 × 424,144.40
  4. Step 4: Simplify right side
    431,142.80x = 274,300,206,330.48
  5. Step 5: Solve for x
    x = 274,300,206,330.48/431,142.80
  6. Step 6: Final answer
    x = 636,216.60

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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.