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Finding the Fourth Proportional to 490,209.60, 735,314.40 and 312,187.80

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Solution

The fourth proportional to 490,209.60, 735,314.40 and 312,187.80 is: 468,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,209.60 : 735,314.40 = 312,187.80 : x
  2. Step 2: Convert to fraction form
    490,209.60/735,314.40 = 312,187.80/x
  3. Step 3: Cross multiply
    490,209.60x = 735,314.40 × 312,187.80
  4. Step 4: Simplify right side
    490,209.60x = 229,556,184,844.32
  5. Step 5: Solve for x
    x = 229,556,184,844.32/490,209.60
  6. Step 6: Final answer
    x = 468,281.70

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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.