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Finding the Fourth Proportional to 517,486.73, 714,131.59 and 288,039.08

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Solution

The fourth proportional to 517,486.73, 714,131.59 and 288,039.08 is: 397,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,486.73 : 714,131.59 = 288,039.08 : x
  2. Step 2: Convert to fraction form
    517,486.73/714,131.59 = 288,039.08/x
  3. Step 3: Cross multiply
    517,486.73x = 714,131.59 × 288,039.08
  4. Step 4: Simplify right side
    517,486.73x = 205,697,806,182.54
  5. Step 5: Solve for x
    x = 205,697,806,182.54/517,486.73
  6. Step 6: Final answer
    x = 397,493.88

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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.