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Finding the Fourth Proportional to 389,398, 537,427.56 and 238,582.48

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Solution

The fourth proportional to 389,398, 537,427.56 and 238,582.48 is: 329,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,398 : 537,427.56 = 238,582.48 : x
  2. Step 2: Convert to fraction form
    389,398/537,427.56 = 238,582.48/x
  3. Step 3: Cross multiply
    389,398x = 537,427.56 × 238,582.48
  4. Step 4: Simplify right side
    389,398x = 128,220,800,085.15
  5. Step 5: Solve for x
    x = 128,220,800,085.15/389,398
  6. Step 6: Final answer
    x = 329,279.55

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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.