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Finding the Fourth Proportional to 288,875.48, 398,748.35 and 198,530.51

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Solution

The fourth proportional to 288,875.48, 398,748.35 and 198,530.51 is: 274,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,875.48 : 398,748.35 = 198,530.51 : x
  2. Step 2: Convert to fraction form
    288,875.48/398,748.35 = 198,530.51/x
  3. Step 3: Cross multiply
    288,875.48x = 398,748.35 × 198,530.51
  4. Step 4: Simplify right side
    288,875.48x = 79,163,711,789.74
  5. Step 5: Solve for x
    x = 79,163,711,789.74/288,875.48
  6. Step 6: Final answer
    x = 274,040.96

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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.