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Finding the Fourth Proportional to 451,538.40, 678,085.20 and 319,346.40

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Solution

The fourth proportional to 451,538.40, 678,085.20 and 319,346.40 is: 479,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,538.40 : 678,085.20 = 319,346.40 : x
  2. Step 2: Convert to fraction form
    451,538.40/678,085.20 = 319,346.40/x
  3. Step 3: Cross multiply
    451,538.40x = 678,085.20 × 319,346.40
  4. Step 4: Simplify right side
    451,538.40x = 216,544,067,513.28
  5. Step 5: Solve for x
    x = 216,544,067,513.28/451,538.40
  6. Step 6: Final answer
    x = 479,569.55

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1.5x scale

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.