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Finding the Fourth Proportional to 287,717.95, 431,701.31 and 154,442.57

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Solution

The fourth proportional to 287,717.95, 431,701.31 and 154,442.57 is: 231,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,717.95 : 431,701.31 = 154,442.57 : x
  2. Step 2: Convert to fraction form
    287,717.95/431,701.31 = 154,442.57/x
  3. Step 3: Cross multiply
    287,717.95x = 431,701.31 × 154,442.57
  4. Step 4: Simplify right side
    287,717.95x = 66,673,059,788.77
  5. Step 5: Solve for x
    x = 66,673,059,788.77/287,717.95
  6. Step 6: Final answer
    x = 231,730.62

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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.