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Finding the Fourth Proportional to 265,905, 398,633.78 and 123,678.02

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Solution

The fourth proportional to 265,905, 398,633.78 and 123,678.02 is: 185,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,905 : 398,633.78 = 123,678.02 : x
  2. Step 2: Convert to fraction form
    265,905/398,633.78 = 123,678.02/x
  3. Step 3: Cross multiply
    265,905x = 398,633.78 × 123,678.02
  4. Step 4: Simplify right side
    265,905x = 49,302,237,921.30
  5. Step 5: Solve for x
    x = 49,302,237,921.30/265,905
  6. Step 6: Final answer
    x = 185,412.98

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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.