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Finding the Fourth Proportional to 340,661.52, 510,695.28 and 140,857.20

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Solution

The fourth proportional to 340,661.52, 510,695.28 and 140,857.20 is: 211,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,661.52 : 510,695.28 = 140,857.20 : x
  2. Step 2: Convert to fraction form
    340,661.52/510,695.28 = 140,857.20/x
  3. Step 3: Cross multiply
    340,661.52x = 510,695.28 × 140,857.20
  4. Step 4: Simplify right side
    340,661.52x = 71,935,107,194.02
  5. Step 5: Solve for x
    x = 71,935,107,194.02/340,661.52
  6. Step 6: Final answer
    x = 211,163.00

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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.