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Finding the Fourth Proportional to 409,996.14, 615,020.13 and 173,307.66

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Solution

The fourth proportional to 409,996.14, 615,020.13 and 173,307.66 is: 259,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,996.14 : 615,020.13 = 173,307.66 : x
  2. Step 2: Convert to fraction form
    409,996.14/615,020.13 = 173,307.66/x
  3. Step 3: Cross multiply
    409,996.14x = 615,020.13 × 173,307.66
  4. Step 4: Simplify right side
    409,996.14x = 106,587,699,583.20
  5. Step 5: Solve for x
    x = 106,587,699,583.20/409,996.14
  6. Step 6: Final answer
    x = 259,972.45

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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.