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Finding the Fourth Proportional to 428,514.79, 642,853.41 and 172,366.96

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Solution

The fourth proportional to 428,514.79, 642,853.41 and 172,366.96 is: 258,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,514.79 : 642,853.41 = 172,366.96 : x
  2. Step 2: Convert to fraction form
    428,514.79/642,853.41 = 172,366.96/x
  3. Step 3: Cross multiply
    428,514.79x = 642,853.41 × 172,366.96
  4. Step 4: Simplify right side
    428,514.79x = 110,806,688,007.33
  5. Step 5: Solve for x
    x = 110,806,688,007.33/428,514.79
  6. Step 6: Final answer
    x = 258,583.11

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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.