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Finding the Fourth Proportional to 339,969.30, 509,953.95 and 140,223.30

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Solution

The fourth proportional to 339,969.30, 509,953.95 and 140,223.30 is: 210,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,969.30 : 509,953.95 = 140,223.30 : x
  2. Step 2: Convert to fraction form
    339,969.30/509,953.95 = 140,223.30/x
  3. Step 3: Cross multiply
    339,969.30x = 509,953.95 × 140,223.30
  4. Step 4: Simplify right side
    339,969.30x = 71,507,425,717.04
  5. Step 5: Solve for x
    x = 71,507,425,717.04/339,969.30
  6. Step 6: Final answer
    x = 210,334.95

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1.5x scale

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.