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Finding the Fourth Proportional to 311,097.49, 429,346.79 and 190,319.20

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Solution

The fourth proportional to 311,097.49, 429,346.79 and 190,319.20 is: 262,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,097.49 : 429,346.79 = 190,319.20 : x
  2. Step 2: Convert to fraction form
    311,097.49/429,346.79 = 190,319.20/x
  3. Step 3: Cross multiply
    311,097.49x = 429,346.79 × 190,319.20
  4. Step 4: Simplify right side
    311,097.49x = 81,712,936,643.77
  5. Step 5: Solve for x
    x = 81,712,936,643.77/311,097.49
  6. Step 6: Final answer
    x = 262,660.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.