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Finding the Fourth Proportional to 401,142.09, 600,356.85 and 390,347.27

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Solution

The fourth proportional to 401,142.09, 600,356.85 and 390,347.27 is: 584,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,142.09 : 600,356.85 = 390,347.27 : x
  2. Step 2: Convert to fraction form
    401,142.09/600,356.85 = 390,347.27/x
  3. Step 3: Cross multiply
    401,142.09x = 600,356.85 × 390,347.27
  4. Step 4: Simplify right side
    401,142.09x = 234,347,654,421.52
  5. Step 5: Solve for x
    x = 234,347,654,421.52/401,142.09
  6. Step 6: Final answer
    x = 584,201.11

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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.