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Finding the Fourth Proportional to 656,348, 905,760.72 and 354,542

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Solution

The fourth proportional to 656,348, 905,760.72 and 354,542 is: 489,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,348 : 905,760.72 = 354,542 : x
  2. Step 2: Convert to fraction form
    656,348/905,760.72 = 354,542/x
  3. Step 3: Cross multiply
    656,348x = 905,760.72 × 354,542
  4. Step 4: Simplify right side
    656,348x = 321,130,217,190.24
  5. Step 5: Solve for x
    x = 321,130,217,190.24/656,348
  6. Step 6: Final answer
    x = 489,268.22

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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.