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Finding the Fourth Proportional to 709,178.73, 978,647.23 and 386,888.74

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Solution

The fourth proportional to 709,178.73, 978,647.23 and 386,888.74 is: 533,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,178.73 : 978,647.23 = 386,888.74 : x
  2. Step 2: Convert to fraction form
    709,178.73/978,647.23 = 386,888.74/x
  3. Step 3: Cross multiply
    709,178.73x = 978,647.23 × 386,888.74
  4. Step 4: Simplify right side
    709,178.73x = 378,627,593,719.19
  5. Step 5: Solve for x
    x = 378,627,593,719.19/709,178.73
  6. Step 6: Final answer
    x = 533,895.87

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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.