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Finding the Fourth Proportional to 659,025.20, 987,225.60 and 378,214.40

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Solution

The fourth proportional to 659,025.20, 987,225.60 and 378,214.40 is: 566,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,025.20 : 987,225.60 = 378,214.40 : x
  2. Step 2: Convert to fraction form
    659,025.20/987,225.60 = 378,214.40/x
  3. Step 3: Cross multiply
    659,025.20x = 987,225.60 × 378,214.40
  4. Step 4: Simplify right side
    659,025.20x = 373,382,937,968.64
  5. Step 5: Solve for x
    x = 373,382,937,968.64/659,025.20
  6. Step 6: Final answer
    x = 566,568.53

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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.