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Finding the Fourth Proportional to 389,616.36, 584,424.50 and 197,460.86

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Solution

The fourth proportional to 389,616.36, 584,424.50 and 197,460.86 is: 296,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616.36 : 584,424.50 = 197,460.86 : x
  2. Step 2: Convert to fraction form
    389,616.36/584,424.50 = 197,460.86/x
  3. Step 3: Cross multiply
    389,616.36x = 584,424.50 × 197,460.86
  4. Step 4: Simplify right side
    389,616.36x = 115,400,961,452.95
  5. Step 5: Solve for x
    x = 115,400,961,452.95/389,616.36
  6. Step 6: Final answer
    x = 296,191.26

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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.