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Finding the Fourth Proportional to 569,642.92, 853,717.02 and 419,178.76

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Solution

The fourth proportional to 569,642.92, 853,717.02 and 419,178.76 is: 628,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,642.92 : 853,717.02 = 419,178.76 : x
  2. Step 2: Convert to fraction form
    569,642.92/853,717.02 = 419,178.76/x
  3. Step 3: Cross multiply
    569,642.92x = 853,717.02 × 419,178.76
  4. Step 4: Simplify right side
    569,642.92x = 357,860,041,834.50
  5. Step 5: Solve for x
    x = 357,860,041,834.50/569,642.92
  6. Step 6: Final answer
    x = 628,218.19

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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.