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Finding the Fourth Proportional to 509,424.91, 703,010.17 and 279,986.10

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Solution

The fourth proportional to 509,424.91, 703,010.17 and 279,986.10 is: 386,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,424.91 : 703,010.17 = 279,986.10 : x
  2. Step 2: Convert to fraction form
    509,424.91/703,010.17 = 279,986.10/x
  3. Step 3: Cross multiply
    509,424.91x = 703,010.17 × 279,986.10
  4. Step 4: Simplify right side
    509,424.91x = 196,833,075,758.64
  5. Step 5: Solve for x
    x = 196,833,075,758.64/509,424.91
  6. Step 6: Final answer
    x = 386,382.90

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1.5x scale

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.