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Finding the Fourth Proportional to 449,716.80, 674,383.17 and 260,307.91

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Solution

The fourth proportional to 449,716.80, 674,383.17 and 260,307.91 is: 390,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,716.80 : 674,383.17 = 260,307.91 : x
  2. Step 2: Convert to fraction form
    449,716.80/674,383.17 = 260,307.91/x
  3. Step 3: Cross multiply
    449,716.80x = 674,383.17 × 260,307.91
  4. Step 4: Simplify right side
    449,716.80x = 175,547,272,812.07
  5. Step 5: Solve for x
    x = 175,547,272,812.07/449,716.80
  6. Step 6: Final answer
    x = 390,350.71

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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.