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Finding the Fourth Proportional to 278,164.64, 383,815.88 and 163,462

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Solution

The fourth proportional to 278,164.64, 383,815.88 and 163,462 is: 225,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,164.64 : 383,815.88 = 163,462 : x
  2. Step 2: Convert to fraction form
    278,164.64/383,815.88 = 163,462/x
  3. Step 3: Cross multiply
    278,164.64x = 383,815.88 × 163,462
  4. Step 4: Simplify right side
    278,164.64x = 62,739,311,376.56
  5. Step 5: Solve for x
    x = 62,739,311,376.56/278,164.64
  6. Step 6: Final answer
    x = 225,547.40

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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.