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Finding the Fourth Proportional to 278,044.71, 383,702.16 and 150,720.58

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Solution

The fourth proportional to 278,044.71, 383,702.16 and 150,720.58 is: 207,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,044.71 : 383,702.16 = 150,720.58 : x
  2. Step 2: Convert to fraction form
    278,044.71/383,702.16 = 150,720.58/x
  3. Step 3: Cross multiply
    278,044.71x = 383,702.16 × 150,720.58
  4. Step 4: Simplify right side
    278,044.71x = 57,831,812,102.45
  5. Step 5: Solve for x
    x = 57,831,812,102.45/278,044.71
  6. Step 6: Final answer
    x = 207,994.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.