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Finding the Fourth Proportional to 652,145.20, 978,217.80 and 402,967.60

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Solution

The fourth proportional to 652,145.20, 978,217.80 and 402,967.60 is: 604,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,145.20 : 978,217.80 = 402,967.60 : x
  2. Step 2: Convert to fraction form
    652,145.20/978,217.80 = 402,967.60/x
  3. Step 3: Cross multiply
    652,145.20x = 978,217.80 × 402,967.60
  4. Step 4: Simplify right side
    652,145.20x = 394,190,079,143.28
  5. Step 5: Solve for x
    x = 394,190,079,143.28/652,145.20
  6. Step 6: Final answer
    x = 604,451.40

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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.