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Finding the Fourth Proportional to 658,020.65, 908,071.40 and 356,214.65

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Solution

The fourth proportional to 658,020.65, 908,071.40 and 356,214.65 is: 491,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,020.65 : 908,071.40 = 356,214.65 : x
  2. Step 2: Convert to fraction form
    658,020.65/908,071.40 = 356,214.65/x
  3. Step 3: Cross multiply
    658,020.65x = 908,071.40 × 356,214.65
  4. Step 4: Simplify right side
    658,020.65x = 323,468,334,144.94
  5. Step 5: Solve for x
    x = 323,468,334,144.94/658,020.65
  6. Step 6: Final answer
    x = 491,577.79

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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.