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Finding the Fourth Proportional to 396,023.94, 546,313.53 and 282,912.30

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Solution

The fourth proportional to 396,023.94, 546,313.53 and 282,912.30 is: 390,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,023.94 : 546,313.53 = 282,912.30 : x
  2. Step 2: Convert to fraction form
    396,023.94/546,313.53 = 282,912.30/x
  3. Step 3: Cross multiply
    396,023.94x = 546,313.53 × 282,912.30
  4. Step 4: Simplify right side
    396,023.94x = 154,558,817,293.42
  5. Step 5: Solve for x
    x = 154,558,817,293.42/396,023.94
  6. Step 6: Final answer
    x = 390,276.45

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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.