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Finding the Fourth Proportional to 401,442.62, 602,164.94 and 135,390.02

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Solution

The fourth proportional to 401,442.62, 602,164.94 and 135,390.02 is: 203,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,442.62 : 602,164.94 = 135,390.02 : x
  2. Step 2: Convert to fraction form
    401,442.62/602,164.94 = 135,390.02/x
  3. Step 3: Cross multiply
    401,442.62x = 602,164.94 × 135,390.02
  4. Step 4: Simplify right side
    401,442.62x = 81,527,119,582.12
  5. Step 5: Solve for x
    x = 81,527,119,582.12/401,442.62
  6. Step 6: Final answer
    x = 203,085.36

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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.