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Finding the Fourth Proportional to 656,334, 905,741.28 and 354,528

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Solution

The fourth proportional to 656,334, 905,741.28 and 354,528 is: 489,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,334 : 905,741.28 = 354,528 : x
  2. Step 2: Convert to fraction form
    656,334/905,741.28 = 354,528/x
  3. Step 3: Cross multiply
    656,334x = 905,741.28 × 354,528
  4. Step 4: Simplify right side
    656,334x = 321,110,644,515.84
  5. Step 5: Solve for x
    x = 321,110,644,515.84/656,334
  6. Step 6: Final answer
    x = 489,248.83

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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.