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Finding the Fourth Proportional to 389,780.48, 537,897.60 and 210,932.48

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Solution

The fourth proportional to 389,780.48, 537,897.60 and 210,932.48 is: 291,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,780.48 : 537,897.60 = 210,932.48 : x
  2. Step 2: Convert to fraction form
    389,780.48/537,897.60 = 210,932.48/x
  3. Step 3: Cross multiply
    389,780.48x = 537,897.60 × 210,932.48
  4. Step 4: Simplify right side
    389,780.48x = 113,460,074,754.05
  5. Step 5: Solve for x
    x = 113,460,074,754.05/389,780.48
  6. Step 6: Final answer
    x = 291,087.11

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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.