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Finding the Fourth Proportional to 861,158.96, 1,290,900.48 and 411,763.26

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Solution

The fourth proportional to 861,158.96, 1,290,900.48 and 411,763.26 is: 617,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,158.96 : 1,290,900.48 = 411,763.26 : x
  2. Step 2: Convert to fraction form
    861,158.96/1,290,900.48 = 411,763.26/x
  3. Step 3: Cross multiply
    861,158.96x = 1,290,900.48 × 411,763.26
  4. Step 4: Simplify right side
    861,158.96x = 531,545,389,980.37
  5. Step 5: Solve for x
    x = 531,545,389,980.37/861,158.96
  6. Step 6: Final answer
    x = 617,244.22

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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.