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Finding the Fourth Proportional to 412,875.60, 619,889.40 and 264,037.20

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Solution

The fourth proportional to 412,875.60, 619,889.40 and 264,037.20 is: 396,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875.60 : 619,889.40 = 264,037.20 : x
  2. Step 2: Convert to fraction form
    412,875.60/619,889.40 = 264,037.20/x
  3. Step 3: Cross multiply
    412,875.60x = 619,889.40 × 264,037.20
  4. Step 4: Simplify right side
    412,875.60x = 163,673,861,485.68
  5. Step 5: Solve for x
    x = 163,673,861,485.68/412,875.60
  6. Step 6: Final answer
    x = 396,424.16

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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.