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Finding the Fourth Proportional to 431,105.65, 645,554.34 and 359,851.12

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Solution

The fourth proportional to 431,105.65, 645,554.34 and 359,851.12 is: 538,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,105.65 : 645,554.34 = 359,851.12 : x
  2. Step 2: Convert to fraction form
    431,105.65/645,554.34 = 359,851.12/x
  3. Step 3: Cross multiply
    431,105.65x = 645,554.34 × 359,851.12
  4. Step 4: Simplify right side
    431,105.65x = 232,303,452,269.86
  5. Step 5: Solve for x
    x = 232,303,452,269.86/431,105.65
  6. Step 6: Final answer
    x = 538,855.04

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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.