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Finding the Fourth Proportional to 476,043.92, 656,768.18 and 312,788.25

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Solution

The fourth proportional to 476,043.92, 656,768.18 and 312,788.25 is: 431,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,043.92 : 656,768.18 = 312,788.25 : x
  2. Step 2: Convert to fraction form
    476,043.92/656,768.18 = 312,788.25/x
  3. Step 3: Cross multiply
    476,043.92x = 656,768.18 × 312,788.25
  4. Step 4: Simplify right side
    476,043.92x = 205,429,370,459.86
  5. Step 5: Solve for x
    x = 205,429,370,459.86/476,043.92
  6. Step 6: Final answer
    x = 431,534.49

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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.