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Finding the Fourth Proportional to 396,007.38, 546,290.73 and 282,895.74

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Solution

The fourth proportional to 396,007.38, 546,290.73 and 282,895.74 is: 390,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,007.38 : 546,290.73 = 282,895.74 : x
  2. Step 2: Convert to fraction form
    396,007.38/546,290.73 = 282,895.74/x
  3. Step 3: Cross multiply
    396,007.38x = 546,290.73 × 282,895.74
  4. Step 4: Simplify right side
    396,007.38x = 154,543,320,318.49
  5. Step 5: Solve for x
    x = 154,543,320,318.49/396,007.38
  6. Step 6: Final answer
    x = 390,253.64

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1.5x scale

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.