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Finding the Fourth Proportional to 287,663.40, 431,494.49 and 77,301.34

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Solution

The fourth proportional to 287,663.40, 431,494.49 and 77,301.34 is: 115,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,663.40 : 431,494.49 = 77,301.34 : x
  2. Step 2: Convert to fraction form
    287,663.40/431,494.49 = 77,301.34/x
  3. Step 3: Cross multiply
    287,663.40x = 431,494.49 × 77,301.34
  4. Step 4: Simplify right side
    287,663.40x = 33,355,101,394.13
  5. Step 5: Solve for x
    x = 33,355,101,394.13/287,663.40
  6. Step 6: Final answer
    x = 115,951.84

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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.