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Finding the Fourth Proportional to 401,147.40, 600,364.81 and 390,352.57

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Solution

The fourth proportional to 401,147.40, 600,364.81 and 390,352.57 is: 584,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,147.40 : 600,364.81 = 390,352.57 : x
  2. Step 2: Convert to fraction form
    401,147.40/600,364.81 = 390,352.57/x
  3. Step 3: Cross multiply
    401,147.40x = 600,364.81 × 390,352.57
  4. Step 4: Simplify right side
    401,147.40x = 234,353,946,521.06
  5. Step 5: Solve for x
    x = 234,353,946,521.06/401,147.40
  6. Step 6: Final answer
    x = 584,209.06

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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.