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Finding the Fourth Proportional to 515,891.42, 711,931.64 and 286,449.20

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Solution

The fourth proportional to 515,891.42, 711,931.64 and 286,449.20 is: 395,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,891.42 : 711,931.64 = 286,449.20 : x
  2. Step 2: Convert to fraction form
    515,891.42/711,931.64 = 286,449.20/x
  3. Step 3: Cross multiply
    515,891.42x = 711,931.64 × 286,449.20
  4. Step 4: Simplify right side
    515,891.42x = 203,932,243,740.78
  5. Step 5: Solve for x
    x = 203,932,243,740.78/515,891.42
  6. Step 6: Final answer
    x = 395,300.71

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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.