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Finding the Fourth Proportional to 401,147.90, 600,365.56 and 390,353.08

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Solution

The fourth proportional to 401,147.90, 600,365.56 and 390,353.08 is: 584,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,147.90 : 600,365.56 = 390,353.08 : x
  2. Step 2: Convert to fraction form
    401,147.90/600,365.56 = 390,353.08/x
  3. Step 3: Cross multiply
    401,147.90x = 600,365.56 × 390,353.08
  4. Step 4: Simplify right side
    401,147.90x = 234,354,545,471.93
  5. Step 5: Solve for x
    x = 234,354,545,471.93/401,147.90
  6. Step 6: Final answer
    x = 584,209.83

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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.