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Finding the Fourth Proportional to 402,920.40, 603,651.60 and 319,231.20

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Solution

The fourth proportional to 402,920.40, 603,651.60 and 319,231.20 is: 478,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,920.40 : 603,651.60 = 319,231.20 : x
  2. Step 2: Convert to fraction form
    402,920.40/603,651.60 = 319,231.20/x
  3. Step 3: Cross multiply
    402,920.40x = 603,651.60 × 319,231.20
  4. Step 4: Simplify right side
    402,920.40x = 192,704,424,649.92
  5. Step 5: Solve for x
    x = 192,704,424,649.92/402,920.40
  6. Step 6: Final answer
    x = 478,269.22

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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.