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Finding the Fourth Proportional to 569,435.20, 853,715.40 and 320,117.20

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Solution

The fourth proportional to 569,435.20, 853,715.40 and 320,117.20 is: 479,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,435.20 : 853,715.40 = 320,117.20 : x
  2. Step 2: Convert to fraction form
    569,435.20/853,715.40 = 320,117.20/x
  3. Step 3: Cross multiply
    569,435.20x = 853,715.40 × 320,117.20
  4. Step 4: Simplify right side
    569,435.20x = 273,288,983,444.88
  5. Step 5: Solve for x
    x = 273,288,983,444.88/569,435.20
  6. Step 6: Final answer
    x = 479,929.91

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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.