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Finding the Fourth Proportional to 509,943.30, 765,133.65 and 260,625.30

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Solution

The fourth proportional to 509,943.30, 765,133.65 and 260,625.30 is: 391,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,943.30 : 765,133.65 = 260,625.30 : x
  2. Step 2: Convert to fraction form
    509,943.30/765,133.65 = 260,625.30/x
  3. Step 3: Cross multiply
    509,943.30x = 765,133.65 × 260,625.30
  4. Step 4: Simplify right side
    509,943.30x = 199,413,187,071.35
  5. Step 5: Solve for x
    x = 199,413,187,071.35/509,943.30
  6. Step 6: Final answer
    x = 391,049.72

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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.