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Finding the Fourth Proportional to 340,120.40, 510,180.60 and 238,643.60

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Solution

The fourth proportional to 340,120.40, 510,180.60 and 238,643.60 is: 357,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,120.40 : 510,180.60 = 238,643.60 : x
  2. Step 2: Convert to fraction form
    340,120.40/510,180.60 = 238,643.60/x
  3. Step 3: Cross multiply
    340,120.40x = 510,180.60 × 238,643.60
  4. Step 4: Simplify right side
    340,120.40x = 121,751,335,034.16
  5. Step 5: Solve for x
    x = 121,751,335,034.16/340,120.40
  6. Step 6: Final answer
    x = 357,965.40

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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.