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Finding the Fourth Proportional to 288,161.12, 431,878.08 and 146,042.12

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Solution

The fourth proportional to 288,161.12, 431,878.08 and 146,042.12 is: 218,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,161.12 : 431,878.08 = 146,042.12 : x
  2. Step 2: Convert to fraction form
    288,161.12/431,878.08 = 146,042.12/x
  3. Step 3: Cross multiply
    288,161.12x = 431,878.08 × 146,042.12
  4. Step 4: Simplify right side
    288,161.12x = 63,072,390,384.73
  5. Step 5: Solve for x
    x = 63,072,390,384.73/288,161.12
  6. Step 6: Final answer
    x = 218,878.90

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1.5x scale

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.