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Finding the Fourth Proportional to 431,012.56, 646,520.04 and 430,389.76

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Solution

The fourth proportional to 431,012.56, 646,520.04 and 430,389.76 is: 645,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,012.56 : 646,520.04 = 430,389.76 : x
  2. Step 2: Convert to fraction form
    431,012.56/646,520.04 = 430,389.76/x
  3. Step 3: Cross multiply
    431,012.56x = 646,520.04 × 430,389.76
  4. Step 4: Simplify right side
    431,012.56x = 278,255,604,850.79
  5. Step 5: Solve for x
    x = 278,255,604,850.79/431,012.56
  6. Step 6: Final answer
    x = 645,585.84

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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.