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Finding the Fourth Proportional to 315,967.28, 473,951.82 and 91,346

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Solution

The fourth proportional to 315,967.28, 473,951.82 and 91,346 is: 137,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,967.28 : 473,951.82 = 91,346 : x
  2. Step 2: Convert to fraction form
    315,967.28/473,951.82 = 91,346/x
  3. Step 3: Cross multiply
    315,967.28x = 473,951.82 × 91,346
  4. Step 4: Simplify right side
    315,967.28x = 43,293,602,949.72
  5. Step 5: Solve for x
    x = 43,293,602,949.72/315,967.28
  6. Step 6: Final answer
    x = 137,019.26

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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.