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Finding the Fourth Proportional to 709,143.25, 978,617.69 and 386,854.65

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Solution

The fourth proportional to 709,143.25, 978,617.69 and 386,854.65 is: 533,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,143.25 : 978,617.69 = 386,854.65 : x
  2. Step 2: Convert to fraction form
    709,143.25/978,617.69 = 386,854.65/x
  3. Step 3: Cross multiply
    709,143.25x = 978,617.69 × 386,854.65
  4. Step 4: Simplify right side
    709,143.25x = 378,582,803,948.76
  5. Step 5: Solve for x
    x = 378,582,803,948.76/709,143.25
  6. Step 6: Final answer
    x = 533,859.42

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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.