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Finding the Fourth Proportional to 338,859.20, 507,943.20 and 198,545.60

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Solution

The fourth proportional to 338,859.20, 507,943.20 and 198,545.60 is: 297,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,859.20 : 507,943.20 = 198,545.60 : x
  2. Step 2: Convert to fraction form
    338,859.20/507,943.20 = 198,545.60/x
  3. Step 3: Cross multiply
    338,859.20x = 507,943.20 × 198,545.60
  4. Step 4: Simplify right side
    338,859.20x = 100,849,887,409.92
  5. Step 5: Solve for x
    x = 100,849,887,409.92/338,859.20
  6. Step 6: Final answer
    x = 297,615.90

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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.