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Finding the Fourth Proportional to 288,607.84, 398,020.96 and 181,187.88

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Solution

The fourth proportional to 288,607.84, 398,020.96 and 181,187.88 is: 249,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,607.84 : 398,020.96 = 181,187.88 : x
  2. Step 2: Convert to fraction form
    288,607.84/398,020.96 = 181,187.88/x
  3. Step 3: Cross multiply
    288,607.84x = 398,020.96 × 181,187.88
  4. Step 4: Simplify right side
    288,607.84x = 72,116,573,937.96
  5. Step 5: Solve for x
    x = 72,116,573,937.96/288,607.84
  6. Step 6: Final answer
    x = 249,877.39

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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.