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Finding the Fourth Proportional to 310,097.80, 465,146.70 and 191,902.60

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Solution

The fourth proportional to 310,097.80, 465,146.70 and 191,902.60 is: 287,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,097.80 : 465,146.70 = 191,902.60 : x
  2. Step 2: Convert to fraction form
    310,097.80/465,146.70 = 191,902.60/x
  3. Step 3: Cross multiply
    310,097.80x = 465,146.70 × 191,902.60
  4. Step 4: Simplify right side
    310,097.80x = 89,262,861,111.42
  5. Step 5: Solve for x
    x = 89,262,861,111.42/310,097.80
  6. Step 6: Final answer
    x = 287,853.90

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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.