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Finding the Fourth Proportional to 506,919.84, 699,571.47 and 280,565.28

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Solution

The fourth proportional to 506,919.84, 699,571.47 and 280,565.28 is: 387,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,919.84 : 699,571.47 = 280,565.28 : x
  2. Step 2: Convert to fraction form
    506,919.84/699,571.47 = 280,565.28/x
  3. Step 3: Cross multiply
    506,919.84x = 699,571.47 × 280,565.28
  4. Step 4: Simplify right side
    506,919.84x = 196,275,465,360.56
  5. Step 5: Solve for x
    x = 196,275,465,360.56/506,919.84
  6. Step 6: Final answer
    x = 387,192.31

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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.