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Finding the Fourth Proportional to 331,020, 456,814.89 and 180,117

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Solution

The fourth proportional to 331,020, 456,814.89 and 180,117 is: 248,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,020 : 456,814.89 = 180,117 : x
  2. Step 2: Convert to fraction form
    331,020/456,814.89 = 180,117/x
  3. Step 3: Cross multiply
    331,020x = 456,814.89 × 180,117
  4. Step 4: Simplify right side
    331,020x = 82,280,127,542.13
  5. Step 5: Solve for x
    x = 82,280,127,542.13/331,020
  6. Step 6: Final answer
    x = 248,565.43

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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.