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Finding the Fourth Proportional to 389,427.90, 584,141.85 and 164,713.65

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Solution

The fourth proportional to 389,427.90, 584,141.85 and 164,713.65 is: 247,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,427.90 : 584,141.85 = 164,713.65 : x
  2. Step 2: Convert to fraction form
    389,427.90/584,141.85 = 164,713.65/x
  3. Step 3: Cross multiply
    389,427.90x = 584,141.85 × 164,713.65
  4. Step 4: Simplify right side
    389,427.90x = 96,216,136,231.25
  5. Step 5: Solve for x
    x = 96,216,136,231.25/389,427.90
  6. Step 6: Final answer
    x = 247,070.48

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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.