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Finding the Fourth Proportional to 709,078.96, 978,542.64 and 386,800.88

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Solution

The fourth proportional to 709,078.96, 978,542.64 and 386,800.88 is: 533,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,078.96 : 978,542.64 = 386,800.88 : x
  2. Step 2: Convert to fraction form
    709,078.96/978,542.64 = 386,800.88/x
  3. Step 3: Cross multiply
    709,078.96x = 978,542.64 × 386,800.88
  4. Step 4: Simplify right side
    709,078.96x = 378,501,154,269.52
  5. Step 5: Solve for x
    x = 378,501,154,269.52/709,078.96
  6. Step 6: Final answer
    x = 533,792.67

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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.