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Finding the Fourth Proportional to 278,719.70, 384,792.78 and 183,503.20

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Solution

The fourth proportional to 278,719.70, 384,792.78 and 183,503.20 is: 253,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,719.70 : 384,792.78 = 183,503.20 : x
  2. Step 2: Convert to fraction form
    278,719.70/384,792.78 = 183,503.20/x
  3. Step 3: Cross multiply
    278,719.70x = 384,792.78 × 183,503.20
  4. Step 4: Simplify right side
    278,719.70x = 70,610,706,466.90
  5. Step 5: Solve for x
    x = 70,610,706,466.90/278,719.70
  6. Step 6: Final answer
    x = 253,339.49

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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.