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Finding the Fourth Proportional to 411,345.80, 617,066.70 and 130,891.40

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Solution

The fourth proportional to 411,345.80, 617,066.70 and 130,891.40 is: 196,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,345.80 : 617,066.70 = 130,891.40 : x
  2. Step 2: Convert to fraction form
    411,345.80/617,066.70 = 130,891.40/x
  3. Step 3: Cross multiply
    411,345.80x = 617,066.70 × 130,891.40
  4. Step 4: Simplify right side
    411,345.80x = 80,768,724,256.38
  5. Step 5: Solve for x
    x = 80,768,724,256.38/411,345.80
  6. Step 6: Final answer
    x = 196,352.37

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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.