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Finding the Fourth Proportional to 287,302.20, 431,027.40 and 137,657.94

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Solution

The fourth proportional to 287,302.20, 431,027.40 and 137,657.94 is: 206,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,302.20 : 431,027.40 = 137,657.94 : x
  2. Step 2: Convert to fraction form
    287,302.20/431,027.40 = 137,657.94/x
  3. Step 3: Cross multiply
    287,302.20x = 431,027.40 × 137,657.94
  4. Step 4: Simplify right side
    287,302.20x = 59,334,343,967.56
  5. Step 5: Solve for x
    x = 59,334,343,967.56/287,302.20
  6. Step 6: Final answer
    x = 206,522.41

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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.