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Finding the Fourth Proportional to 314,572.95, 434,115.86 and 171,335.79

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Solution

The fourth proportional to 314,572.95, 434,115.86 and 171,335.79 is: 236,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,572.95 : 434,115.86 = 171,335.79 : x
  2. Step 2: Convert to fraction form
    314,572.95/434,115.86 = 171,335.79/x
  3. Step 3: Cross multiply
    314,572.95x = 434,115.86 × 171,335.79
  4. Step 4: Simplify right side
    314,572.95x = 74,379,582,967.95
  5. Step 5: Solve for x
    x = 74,379,582,967.95/314,572.95
  6. Step 6: Final answer
    x = 236,446.21

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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.