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Finding the Fourth Proportional to 315,962.28, 473,944.32 and 91,341

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Solution

The fourth proportional to 315,962.28, 473,944.32 and 91,341 is: 137,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,962.28 : 473,944.32 = 91,341 : x
  2. Step 2: Convert to fraction form
    315,962.28/473,944.32 = 91,341/x
  3. Step 3: Cross multiply
    315,962.28x = 473,944.32 × 91,341
  4. Step 4: Simplify right side
    315,962.28x = 43,290,548,133.12
  5. Step 5: Solve for x
    x = 43,290,548,133.12/315,962.28
  6. Step 6: Final answer
    x = 137,011.76

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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.