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Finding the Fourth Proportional to 278,889, 385,880.13 and 243,153.42

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Solution

The fourth proportional to 278,889, 385,880.13 and 243,153.42 is: 336,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889 : 385,880.13 = 243,153.42 : x
  2. Step 2: Convert to fraction form
    278,889/385,880.13 = 243,153.42/x
  3. Step 3: Cross multiply
    278,889x = 385,880.13 × 243,153.42
  4. Step 4: Simplify right side
    278,889x = 93,828,073,319.54
  5. Step 5: Solve for x
    x = 93,828,073,319.54/278,889
  6. Step 6: Final answer
    x = 336,435.19

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1.5x scale

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.