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Finding the Fourth Proportional to 242,719.30, 364,078.95 and 163,404.10

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Solution

The fourth proportional to 242,719.30, 364,078.95 and 163,404.10 is: 245,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,719.30 : 364,078.95 = 163,404.10 : x
  2. Step 2: Convert to fraction form
    242,719.30/364,078.95 = 163,404.10/x
  3. Step 3: Cross multiply
    242,719.30x = 364,078.95 × 163,404.10
  4. Step 4: Simplify right side
    242,719.30x = 59,491,993,153.70
  5. Step 5: Solve for x
    x = 59,491,993,153.70/242,719.30
  6. Step 6: Final answer
    x = 245,106.15

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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.