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Finding the Fourth Proportional to 506,788.56, 699,339.24 and 280,420.56

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Solution

The fourth proportional to 506,788.56, 699,339.24 and 280,420.56 is: 386,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,788.56 : 699,339.24 = 280,420.56 : x
  2. Step 2: Convert to fraction form
    506,788.56/699,339.24 = 280,420.56/x
  3. Step 3: Cross multiply
    506,788.56x = 699,339.24 × 280,420.56
  4. Step 4: Simplify right side
    506,788.56x = 196,109,101,310.77
  5. Step 5: Solve for x
    x = 196,109,101,310.77/506,788.56
  6. Step 6: Final answer
    x = 386,964.34

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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.