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Finding the Fourth Proportional to 518,987.76, 716,203.80 and 280,523.76

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Solution

The fourth proportional to 518,987.76, 716,203.80 and 280,523.76 is: 387,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,987.76 : 716,203.80 = 280,523.76 : x
  2. Step 2: Convert to fraction form
    518,987.76/716,203.80 = 280,523.76/x
  3. Step 3: Cross multiply
    518,987.76x = 716,203.80 × 280,523.76
  4. Step 4: Simplify right side
    518,987.76x = 200,912,182,902.29
  5. Step 5: Solve for x
    x = 200,912,182,902.29/518,987.76
  6. Step 6: Final answer
    x = 387,123.16

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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.