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Finding the Fourth Proportional to 411,883.90, 617,816.73 and 112,359.10

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Solution

The fourth proportional to 411,883.90, 617,816.73 and 112,359.10 is: 168,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,883.90 : 617,816.73 = 112,359.10 : x
  2. Step 2: Convert to fraction form
    411,883.90/617,816.73 = 112,359.10/x
  3. Step 3: Cross multiply
    411,883.90x = 617,816.73 × 112,359.10
  4. Step 4: Simplify right side
    411,883.90x = 69,417,331,747.74
  5. Step 5: Solve for x
    x = 69,417,331,747.74/411,883.90
  6. Step 6: Final answer
    x = 168,536.16

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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.