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Finding the Fourth Proportional to 428,401.68, 642,736.80 and 257,809.52

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Solution

The fourth proportional to 428,401.68, 642,736.80 and 257,809.52 is: 386,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,401.68 : 642,736.80 = 257,809.52 : x
  2. Step 2: Convert to fraction form
    428,401.68/642,736.80 = 257,809.52/x
  3. Step 3: Cross multiply
    428,401.68x = 642,736.80 × 257,809.52
  4. Step 4: Simplify right side
    428,401.68x = 165,703,662,680.65
  5. Step 5: Solve for x
    x = 165,703,662,680.65/428,401.68
  6. Step 6: Final answer
    x = 386,795.08

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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.