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Finding the Fourth Proportional to 390,122.25, 538,412.52 and 220,367.31

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Solution

The fourth proportional to 390,122.25, 538,412.52 and 220,367.31 is: 304,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,122.25 : 538,412.52 = 220,367.31 : x
  2. Step 2: Convert to fraction form
    390,122.25/538,412.52 = 220,367.31/x
  3. Step 3: Cross multiply
    390,122.25x = 538,412.52 × 220,367.31
  4. Step 4: Simplify right side
    390,122.25x = 118,648,518,702.72
  5. Step 5: Solve for x
    x = 118,648,518,702.72/390,122.25
  6. Step 6: Final answer
    x = 304,131.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.