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Finding the Fourth Proportional to 708,803.68, 978,113.57 and 402,839.65

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Solution

The fourth proportional to 708,803.68, 978,113.57 and 402,839.65 is: 555,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,803.68 : 978,113.57 = 402,839.65 : x
  2. Step 2: Convert to fraction form
    708,803.68/978,113.57 = 402,839.65/x
  3. Step 3: Cross multiply
    708,803.68x = 978,113.57 × 402,839.65
  4. Step 4: Simplify right side
    708,803.68x = 394,022,928,199.05
  5. Step 5: Solve for x
    x = 394,022,928,199.05/708,803.68
  6. Step 6: Final answer
    x = 555,898.54

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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.