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Finding the Fourth Proportional to 409,305.66, 613,928.52 and 128,903.10

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Solution

The fourth proportional to 409,305.66, 613,928.52 and 128,903.10 is: 193,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,305.66 : 613,928.52 = 128,903.10 : x
  2. Step 2: Convert to fraction form
    409,305.66/613,928.52 = 128,903.10/x
  3. Step 3: Cross multiply
    409,305.66x = 613,928.52 × 128,903.10
  4. Step 4: Simplify right side
    409,305.66x = 79,137,289,406.41
  5. Step 5: Solve for x
    x = 79,137,289,406.41/409,305.66
  6. Step 6: Final answer
    x = 193,345.21

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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.