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Finding the Fourth Proportional to 713,539.32, 984,998.22 and 499,519.50

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Solution

The fourth proportional to 713,539.32, 984,998.22 and 499,519.50 is: 689,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,539.32 : 984,998.22 = 499,519.50 : x
  2. Step 2: Convert to fraction form
    713,539.32/984,998.22 = 499,519.50/x
  3. Step 3: Cross multiply
    713,539.32x = 984,998.22 × 499,519.50
  4. Step 4: Simplify right side
    713,539.32x = 492,025,818,355.29
  5. Step 5: Solve for x
    x = 492,025,818,355.29/713,539.32
  6. Step 6: Final answer
    x = 689,556.70

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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.