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Finding the Fourth Proportional to 310,212.60, 465,756.30 and 192,114.60

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Solution

The fourth proportional to 310,212.60, 465,756.30 and 192,114.60 is: 288,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,212.60 : 465,756.30 = 192,114.60 : x
  2. Step 2: Convert to fraction form
    310,212.60/465,756.30 = 192,114.60/x
  3. Step 3: Cross multiply
    310,212.60x = 465,756.30 × 192,114.60
  4. Step 4: Simplify right side
    310,212.60x = 89,478,585,271.98
  5. Step 5: Solve for x
    x = 89,478,585,271.98/310,212.60
  6. Step 6: Final answer
    x = 288,442.78

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1.5x scale

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.