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Finding the Fourth Proportional to 489,096.30, 733,644.45 and 317,854.20

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Solution

The fourth proportional to 489,096.30, 733,644.45 and 317,854.20 is: 476,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,096.30 : 733,644.45 = 317,854.20 : x
  2. Step 2: Convert to fraction form
    489,096.30/733,644.45 = 317,854.20/x
  3. Step 3: Cross multiply
    489,096.30x = 733,644.45 × 317,854.20
  4. Step 4: Simplify right side
    489,096.30x = 233,191,969,739.19
  5. Step 5: Solve for x
    x = 233,191,969,739.19/489,096.30
  6. Step 6: Final answer
    x = 476,781.30

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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.