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Finding the Fourth Proportional to 509,165.01, 702,648 and 279,737.10

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Solution

The fourth proportional to 509,165.01, 702,648 and 279,737.10 is: 386,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,165.01 : 702,648 = 279,737.10 : x
  2. Step 2: Convert to fraction form
    509,165.01/702,648 = 279,737.10/x
  3. Step 3: Cross multiply
    509,165.01x = 702,648 × 279,737.10
  4. Step 4: Simplify right side
    509,165.01x = 196,556,713,840.80
  5. Step 5: Solve for x
    x = 196,556,713,840.80/509,165.01
  6. Step 6: Final answer
    x = 386,037.36

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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.