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Finding the Fourth Proportional to 702,078.60, 968,873.18 and 430,147

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Solution

The fourth proportional to 702,078.60, 968,873.18 and 430,147 is: 593,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,078.60 : 968,873.18 = 430,147 : x
  2. Step 2: Convert to fraction form
    702,078.60/968,873.18 = 430,147/x
  3. Step 3: Cross multiply
    702,078.60x = 968,873.18 × 430,147
  4. Step 4: Simplify right side
    702,078.60x = 416,757,891,757.46
  5. Step 5: Solve for x
    x = 416,757,891,757.46/702,078.60
  6. Step 6: Final answer
    x = 593,605.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.