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Finding the Fourth Proportional to 288,992.40, 398,871.84 and 175,851.60

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Solution

The fourth proportional to 288,992.40, 398,871.84 and 175,851.60 is: 242,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,992.40 : 398,871.84 = 175,851.60 : x
  2. Step 2: Convert to fraction form
    288,992.40/398,871.84 = 175,851.60/x
  3. Step 3: Cross multiply
    288,992.40x = 398,871.84 × 175,851.60
  4. Step 4: Simplify right side
    288,992.40x = 70,142,251,258.94
  5. Step 5: Solve for x
    x = 70,142,251,258.94/288,992.40
  6. Step 6: Final answer
    x = 242,713.13

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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.