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Finding the Fourth Proportional to 315,911.20, 473,175.60 and 191,034.40

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Solution

The fourth proportional to 315,911.20, 473,175.60 and 191,034.40 is: 286,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,911.20 : 473,175.60 = 191,034.40 : x
  2. Step 2: Convert to fraction form
    315,911.20/473,175.60 = 191,034.40/x
  3. Step 3: Cross multiply
    315,911.20x = 473,175.60 × 191,034.40
  4. Step 4: Simplify right side
    315,911.20x = 90,392,816,840.64
  5. Step 5: Solve for x
    x = 90,392,816,840.64/315,911.20
  6. Step 6: Final answer
    x = 286,133.63

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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.