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Finding the Fourth Proportional to 340,559.40, 510,839.10 and 287,415.30

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Solution

The fourth proportional to 340,559.40, 510,839.10 and 287,415.30 is: 431,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,559.40 : 510,839.10 = 287,415.30 : x
  2. Step 2: Convert to fraction form
    340,559.40/510,839.10 = 287,415.30/x
  3. Step 3: Cross multiply
    340,559.40x = 510,839.10 × 287,415.30
  4. Step 4: Simplify right side
    340,559.40x = 146,822,973,178.23
  5. Step 5: Solve for x
    x = 146,822,973,178.23/340,559.40
  6. Step 6: Final answer
    x = 431,122.95

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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.