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Finding the Fourth Proportional to 709,147.96, 978,622.76 and 386,857.94

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Solution

The fourth proportional to 709,147.96, 978,622.76 and 386,857.94 is: 533,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,147.96 : 978,622.76 = 386,857.94 : x
  2. Step 2: Convert to fraction form
    709,147.96/978,622.76 = 386,857.94/x
  3. Step 3: Cross multiply
    709,147.96x = 978,622.76 × 386,857.94
  4. Step 4: Simplify right side
    709,147.96x = 378,587,984,970.71
  5. Step 5: Solve for x
    x = 378,587,984,970.71/709,147.96
  6. Step 6: Final answer
    x = 533,863.18

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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.