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Finding the Fourth Proportional to 390,624.93, 585,468.61 and 201,174.44

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Solution

The fourth proportional to 390,624.93, 585,468.61 and 201,174.44 is: 301,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,624.93 : 585,468.61 = 201,174.44 : x
  2. Step 2: Convert to fraction form
    390,624.93/585,468.61 = 201,174.44/x
  3. Step 3: Cross multiply
    390,624.93x = 585,468.61 × 201,174.44
  4. Step 4: Simplify right side
    390,624.93x = 117,781,316,324.05
  5. Step 5: Solve for x
    x = 117,781,316,324.05/390,624.93
  6. Step 6: Final answer
    x = 301,520.22

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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.