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Finding the Fourth Proportional to 371,666.34, 512,856 and 218,670.87

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Solution

The fourth proportional to 371,666.34, 512,856 and 218,670.87 is: 301,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,666.34 : 512,856 = 218,670.87 : x
  2. Step 2: Convert to fraction form
    371,666.34/512,856 = 218,670.87/x
  3. Step 3: Cross multiply
    371,666.34x = 512,856 × 218,670.87
  4. Step 4: Simplify right side
    371,666.34x = 112,146,667,704.72
  5. Step 5: Solve for x
    x = 112,146,667,704.72/371,666.34
  6. Step 6: Final answer
    x = 301,740.18

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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.