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Finding the Fourth Proportional to 314,696.13, 434,280.65 and 171,456.13

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Solution

The fourth proportional to 314,696.13, 434,280.65 and 171,456.13 is: 236,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,696.13 : 434,280.65 = 171,456.13 : x
  2. Step 2: Convert to fraction form
    314,696.13/434,280.65 = 171,456.13/x
  3. Step 3: Cross multiply
    314,696.13x = 434,280.65 × 171,456.13
  4. Step 4: Simplify right side
    314,696.13x = 74,460,079,582.88
  5. Step 5: Solve for x
    x = 74,460,079,582.88/314,696.13
  6. Step 6: Final answer
    x = 236,609.45

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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.