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Finding the Fourth Proportional to 442,055.63, 663,083.45 and 161,572.88

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Solution

The fourth proportional to 442,055.63, 663,083.45 and 161,572.88 is: 242,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,055.63 : 663,083.45 = 161,572.88 : x
  2. Step 2: Convert to fraction form
    442,055.63/663,083.45 = 161,572.88/x
  3. Step 3: Cross multiply
    442,055.63x = 663,083.45 × 161,572.88
  4. Step 4: Simplify right side
    442,055.63x = 107,136,298,573.55
  5. Step 5: Solve for x
    x = 107,136,298,573.55/442,055.63
  6. Step 6: Final answer
    x = 242,359.32

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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.