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Finding the Fourth Proportional to 287,729.88, 431,861.02 and 145,675

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Solution

The fourth proportional to 287,729.88, 431,861.02 and 145,675 is: 218,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729.88 : 431,861.02 = 145,675 : x
  2. Step 2: Convert to fraction form
    287,729.88/431,861.02 = 145,675/x
  3. Step 3: Cross multiply
    287,729.88x = 431,861.02 × 145,675
  4. Step 4: Simplify right side
    287,729.88x = 62,911,354,088.50
  5. Step 5: Solve for x
    x = 62,911,354,088.50/287,729.88
  6. Step 6: Final answer
    x = 218,647.27

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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.