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Finding the Fourth Proportional to 506,937.47, 699,584.64 and 280,582.97

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Solution

The fourth proportional to 506,937.47, 699,584.64 and 280,582.97 is: 387,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,937.47 : 699,584.64 = 280,582.97 : x
  2. Step 2: Convert to fraction form
    506,937.47/699,584.64 = 280,582.97/x
  3. Step 3: Cross multiply
    506,937.47x = 699,584.64 × 280,582.97
  4. Step 4: Simplify right side
    506,937.47x = 196,291,532,559.66
  5. Step 5: Solve for x
    x = 196,291,532,559.66/506,937.47
  6. Step 6: Final answer
    x = 387,210.55

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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.