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Finding the Fourth Proportional to 442,694.08, 663,646.65 and 162,145.72

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Solution

The fourth proportional to 442,694.08, 663,646.65 and 162,145.72 is: 243,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,694.08 : 663,646.65 = 162,145.72 : x
  2. Step 2: Convert to fraction form
    442,694.08/663,646.65 = 162,145.72/x
  3. Step 3: Cross multiply
    442,694.08x = 663,646.65 × 162,145.72
  4. Step 4: Simplify right side
    442,694.08x = 107,607,463,889.84
  5. Step 5: Solve for x
    x = 107,607,463,889.84/442,694.08
  6. Step 6: Final answer
    x = 243,074.10

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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.