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Finding the Fourth Proportional to 709,199.94, 978,661.80 and 386,890.82

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Solution

The fourth proportional to 709,199.94, 978,661.80 and 386,890.82 is: 533,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,199.94 : 978,661.80 = 386,890.82 : x
  2. Step 2: Convert to fraction form
    709,199.94/978,661.80 = 386,890.82/x
  3. Step 3: Cross multiply
    709,199.94x = 978,661.80 × 386,890.82
  4. Step 4: Simplify right side
    709,199.94x = 378,635,261,411.37
  5. Step 5: Solve for x
    x = 378,635,261,411.37/709,199.94
  6. Step 6: Final answer
    x = 533,890.71

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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.