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Finding the Fourth Proportional to 861,157.96, 1,290,898.98 and 411,762.26

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Solution

The fourth proportional to 861,157.96, 1,290,898.98 and 411,762.26 is: 617,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,157.96 : 1,290,898.98 = 411,762.26 : x
  2. Step 2: Convert to fraction form
    861,157.96/1,290,898.98 = 411,762.26/x
  3. Step 3: Cross multiply
    861,157.96x = 1,290,898.98 × 411,762.26
  4. Step 4: Simplify right side
    861,157.96x = 531,543,481,436.50
  5. Step 5: Solve for x
    x = 531,543,481,436.50/861,157.96
  6. Step 6: Final answer
    x = 617,242.72

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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.