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Finding the Fourth Proportional to 304,411.80, 456,747.30 and 192,178.20

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Solution

The fourth proportional to 304,411.80, 456,747.30 and 192,178.20 is: 288,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,411.80 : 456,747.30 = 192,178.20 : x
  2. Step 2: Convert to fraction form
    304,411.80/456,747.30 = 192,178.20/x
  3. Step 3: Cross multiply
    304,411.80x = 456,747.30 × 192,178.20
  4. Step 4: Simplify right side
    304,411.80x = 87,776,873,968.86
  5. Step 5: Solve for x
    x = 87,776,873,968.86/304,411.80
  6. Step 6: Final answer
    x = 288,349.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.