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Finding the Fourth Proportional to 506,796.96, 699,394.32 and 280,463.52

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Solution

The fourth proportional to 506,796.96, 699,394.32 and 280,463.52 is: 387,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,796.96 : 699,394.32 = 280,463.52 : x
  2. Step 2: Convert to fraction form
    506,796.96/699,394.32 = 280,463.52/x
  3. Step 3: Cross multiply
    506,796.96x = 699,394.32 × 280,463.52
  4. Step 4: Simplify right side
    506,796.96x = 196,154,592,855.21
  5. Step 5: Solve for x
    x = 196,154,592,855.21/506,796.96
  6. Step 6: Final answer
    x = 387,047.69

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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.