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Finding the Fourth Proportional to 314,727.86, 434,312.25 and 171,488.97

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Solution

The fourth proportional to 314,727.86, 434,312.25 and 171,488.97 is: 236,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,727.86 : 434,312.25 = 171,488.97 : x
  2. Step 2: Convert to fraction form
    314,727.86/434,312.25 = 171,488.97/x
  3. Step 3: Cross multiply
    314,727.86x = 434,312.25 × 171,488.97
  4. Step 4: Simplify right side
    314,727.86x = 74,479,760,410.88
  5. Step 5: Solve for x
    x = 74,479,760,410.88/314,727.86
  6. Step 6: Final answer
    x = 236,648.13

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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.