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Finding the Fourth Proportional to 313,111.82, 432,115.72 and 177,145.74

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Solution

The fourth proportional to 313,111.82, 432,115.72 and 177,145.74 is: 244,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,111.82 : 432,115.72 = 177,145.74 : x
  2. Step 2: Convert to fraction form
    313,111.82/432,115.72 = 177,145.74/x
  3. Step 3: Cross multiply
    313,111.82x = 432,115.72 × 177,145.74
  4. Step 4: Simplify right side
    313,111.82x = 76,547,458,542.17
  5. Step 5: Solve for x
    x = 76,547,458,542.17/313,111.82
  6. Step 6: Final answer
    x = 244,473.23

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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.