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Finding the Fourth Proportional to 651,815.92, 978,004.14 and 315,109.76

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Solution

The fourth proportional to 651,815.92, 978,004.14 and 315,109.76 is: 472,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,815.92 : 978,004.14 = 315,109.76 : x
  2. Step 2: Convert to fraction form
    651,815.92/978,004.14 = 315,109.76/x
  3. Step 3: Cross multiply
    651,815.92x = 978,004.14 × 315,109.76
  4. Step 4: Simplify right side
    651,815.92x = 308,178,644,944.39
  5. Step 5: Solve for x
    x = 308,178,644,944.39/651,815.92
  6. Step 6: Final answer
    x = 472,800.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.