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Finding the Fourth Proportional to 287,520.32, 431,104.80 and 137,806.40

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Solution

The fourth proportional to 287,520.32, 431,104.80 and 137,806.40 is: 206,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,520.32 : 431,104.80 = 137,806.40 : x
  2. Step 2: Convert to fraction form
    287,520.32/431,104.80 = 137,806.40/x
  3. Step 3: Cross multiply
    287,520.32x = 431,104.80 × 137,806.40
  4. Step 4: Simplify right side
    287,520.32x = 59,409,000,510.72
  5. Step 5: Solve for x
    x = 59,409,000,510.72/287,520.32
  6. Step 6: Final answer
    x = 206,625.40

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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.