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Finding the Fourth Proportional to 288,574, 398,275.86 and 175,374.88

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Solution

The fourth proportional to 288,574, 398,275.86 and 175,374.88 is: 242,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,574 : 398,275.86 = 175,374.88 : x
  2. Step 2: Convert to fraction form
    288,574/398,275.86 = 175,374.88/x
  3. Step 3: Cross multiply
    288,574x = 398,275.86 × 175,374.88
  4. Step 4: Simplify right side
    288,574x = 69,847,581,154.40
  5. Step 5: Solve for x
    x = 69,847,581,154.40/288,574
  6. Step 6: Final answer
    x = 242,043.92

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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.