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Finding the Fourth Proportional to 316,082.12, 436,061.94 and 207,156.68

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Solution

The fourth proportional to 316,082.12, 436,061.94 and 207,156.68 is: 285,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,082.12 : 436,061.94 = 207,156.68 : x
  2. Step 2: Convert to fraction form
    316,082.12/436,061.94 = 207,156.68/x
  3. Step 3: Cross multiply
    316,082.12x = 436,061.94 × 207,156.68
  4. Step 4: Simplify right side
    316,082.12x = 90,333,143,764.76
  5. Step 5: Solve for x
    x = 90,333,143,764.76/316,082.12
  6. Step 6: Final answer
    x = 285,790.11

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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.