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Finding the Fourth Proportional to 656,340, 905,749.68 and 354,534

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Solution

The fourth proportional to 656,340, 905,749.68 and 354,534 is: 489,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,340 : 905,749.68 = 354,534 : x
  2. Step 2: Convert to fraction form
    656,340/905,749.68 = 354,534/x
  3. Step 3: Cross multiply
    656,340x = 905,749.68 × 354,534
  4. Step 4: Simplify right side
    656,340x = 321,119,057,049.12
  5. Step 5: Solve for x
    x = 321,119,057,049.12/656,340
  6. Step 6: Final answer
    x = 489,257.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.