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Finding the Fourth Proportional to 509,727, 703,424.07 and 283,372.50

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Solution

The fourth proportional to 509,727, 703,424.07 and 283,372.50 is: 391,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,727 : 703,424.07 = 283,372.50 : x
  2. Step 2: Convert to fraction form
    509,727/703,424.07 = 283,372.50/x
  3. Step 3: Cross multiply
    509,727x = 703,424.07 × 283,372.50
  4. Step 4: Simplify right side
    509,727x = 199,331,037,276.08
  5. Step 5: Solve for x
    x = 199,331,037,276.08/509,727
  6. Step 6: Final answer
    x = 391,054.50

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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.