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Finding the Fourth Proportional to 265,678.51, 398,605.25 and 107,864.59

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Solution

The fourth proportional to 265,678.51, 398,605.25 and 107,864.59 is: 161,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,678.51 : 398,605.25 = 107,864.59 : x
  2. Step 2: Convert to fraction form
    265,678.51/398,605.25 = 107,864.59/x
  3. Step 3: Cross multiply
    265,678.51x = 398,605.25 × 107,864.59
  4. Step 4: Simplify right side
    265,678.51x = 42,995,391,136.25
  5. Step 5: Solve for x
    x = 42,995,391,136.25/265,678.51
  6. Step 6: Final answer
    x = 161,832.40

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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.