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Finding the Fourth Proportional to 287,638.46, 431,680.47 and 231,615.75

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Solution

The fourth proportional to 287,638.46, 431,680.47 and 231,615.75 is: 347,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,638.46 : 431,680.47 = 231,615.75 : x
  2. Step 2: Convert to fraction form
    287,638.46/431,680.47 = 231,615.75/x
  3. Step 3: Cross multiply
    287,638.46x = 431,680.47 × 231,615.75
  4. Step 4: Simplify right side
    287,638.46x = 99,983,994,661.32
  5. Step 5: Solve for x
    x = 99,983,994,661.32/287,638.46
  6. Step 6: Final answer
    x = 347,603.02

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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.