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Finding the Fourth Proportional to 428,010.80, 642,707.40 and 322,948.40

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Solution

The fourth proportional to 428,010.80, 642,707.40 and 322,948.40 is: 484,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,010.80 : 642,707.40 = 322,948.40 : x
  2. Step 2: Convert to fraction form
    428,010.80/642,707.40 = 322,948.40/x
  3. Step 3: Cross multiply
    428,010.80x = 642,707.40 × 322,948.40
  4. Step 4: Simplify right side
    428,010.80x = 207,561,326,498.16
  5. Step 5: Solve for x
    x = 207,561,326,498.16/428,010.80
  6. Step 6: Final answer
    x = 484,944.13

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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.