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Finding the Fourth Proportional to 490,215.60, 735,323.40 and 312,193.80

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Solution

The fourth proportional to 490,215.60, 735,323.40 and 312,193.80 is: 468,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,215.60 : 735,323.40 = 312,193.80 : x
  2. Step 2: Convert to fraction form
    490,215.60/735,323.40 = 312,193.80/x
  3. Step 3: Cross multiply
    490,215.60x = 735,323.40 × 312,193.80
  4. Step 4: Simplify right side
    490,215.60x = 229,563,406,474.92
  5. Step 5: Solve for x
    x = 229,563,406,474.92/490,215.60
  6. Step 6: Final answer
    x = 468,290.70

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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.