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Finding the Fourth Proportional to 424,158.56, 634,853.16 and 311,809.04

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Solution

The fourth proportional to 424,158.56, 634,853.16 and 311,809.04 is: 466,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,158.56 : 634,853.16 = 311,809.04 : x
  2. Step 2: Convert to fraction form
    424,158.56/634,853.16 = 311,809.04/x
  3. Step 3: Cross multiply
    424,158.56x = 634,853.16 × 311,809.04
  4. Step 4: Simplify right side
    424,158.56x = 197,952,954,360.57
  5. Step 5: Solve for x
    x = 197,952,954,360.57/424,158.56
  6. Step 6: Final answer
    x = 466,695.65

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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.