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Finding the Fourth Proportional to 398,896.80, 596,887.20 and 293,920.80

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Solution

The fourth proportional to 398,896.80, 596,887.20 and 293,920.80 is: 439,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,896.80 : 596,887.20 = 293,920.80 : x
  2. Step 2: Convert to fraction form
    398,896.80/596,887.20 = 293,920.80/x
  3. Step 3: Cross multiply
    398,896.80x = 596,887.20 × 293,920.80
  4. Step 4: Simplify right side
    398,896.80x = 175,437,563,333.76
  5. Step 5: Solve for x
    x = 175,437,563,333.76/398,896.80
  6. Step 6: Final answer
    x = 439,806.90

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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.