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Finding the Fourth Proportional to 401,145.90, 600,362.56 and 390,351.07

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Solution

The fourth proportional to 401,145.90, 600,362.56 and 390,351.07 is: 584,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,145.90 : 600,362.56 = 390,351.07 : x
  2. Step 2: Convert to fraction form
    401,145.90/600,362.56 = 390,351.07/x
  3. Step 3: Cross multiply
    401,145.90x = 600,362.56 × 390,351.07
  4. Step 4: Simplify right side
    401,145.90x = 234,352,167,683.94
  5. Step 5: Solve for x
    x = 234,352,167,683.94/401,145.90
  6. Step 6: Final answer
    x = 584,206.81

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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.