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Finding the Fourth Proportional to 300,184.59, 414,214.16 and 171,139.71

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Solution

The fourth proportional to 300,184.59, 414,214.16 and 171,139.71 is: 236,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,184.59 : 414,214.16 = 171,139.71 : x
  2. Step 2: Convert to fraction form
    300,184.59/414,214.16 = 171,139.71/x
  3. Step 3: Cross multiply
    300,184.59x = 414,214.16 × 171,139.71
  4. Step 4: Simplify right side
    300,184.59x = 70,888,490,364.60
  5. Step 5: Solve for x
    x = 70,888,490,364.60/300,184.59
  6. Step 6: Final answer
    x = 236,149.66

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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.