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Finding the Fourth Proportional to 402,761.80, 603,624.30 and 308,801.80

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Solution

The fourth proportional to 402,761.80, 603,624.30 and 308,801.80 is: 462,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,761.80 : 603,624.30 = 308,801.80 : x
  2. Step 2: Convert to fraction form
    402,761.80/603,624.30 = 308,801.80/x
  3. Step 3: Cross multiply
    402,761.80x = 603,624.30 × 308,801.80
  4. Step 4: Simplify right side
    402,761.80x = 186,400,270,363.74
  5. Step 5: Solve for x
    x = 186,400,270,363.74/402,761.80
  6. Step 6: Final answer
    x = 462,805.24

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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.