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Finding the Fourth Proportional to 509,137.94, 702,610.82 and 279,710.08

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Solution

The fourth proportional to 509,137.94, 702,610.82 and 279,710.08 is: 386,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,137.94 : 702,610.82 = 279,710.08 : x
  2. Step 2: Convert to fraction form
    509,137.94/702,610.82 = 279,710.08/x
  3. Step 3: Cross multiply
    509,137.94x = 702,610.82 × 279,710.08
  4. Step 4: Simplify right side
    509,137.94x = 196,527,328,671.07
  5. Step 5: Solve for x
    x = 196,527,328,671.07/509,137.94
  6. Step 6: Final answer
    x = 386,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.