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Finding the Fourth Proportional to 709,188.12, 978,660.28 and 386,898.16

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Solution

The fourth proportional to 709,188.12, 978,660.28 and 386,898.16 is: 533,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,188.12 : 978,660.28 = 386,898.16 : x
  2. Step 2: Convert to fraction form
    709,188.12/978,660.28 = 386,898.16/x
  3. Step 3: Cross multiply
    709,188.12x = 978,660.28 × 386,898.16
  4. Step 4: Simplify right side
    709,188.12x = 378,641,861,597.09
  5. Step 5: Solve for x
    x = 378,641,861,597.09/709,188.12
  6. Step 6: Final answer
    x = 533,908.92

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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.