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Finding the Fourth Proportional to 411,352.32, 617,016.96 and 130,886.40

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Solution

The fourth proportional to 411,352.32, 617,016.96 and 130,886.40 is: 196,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,352.32 : 617,016.96 = 130,886.40 : x
  2. Step 2: Convert to fraction form
    411,352.32/617,016.96 = 130,886.40/x
  3. Step 3: Cross multiply
    411,352.32x = 617,016.96 × 130,886.40
  4. Step 4: Simplify right side
    411,352.32x = 80,759,128,633.34
  5. Step 5: Solve for x
    x = 80,759,128,633.34/411,352.32
  6. Step 6: Final answer
    x = 196,325.93

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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.