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Finding the Fourth Proportional to 389,546.88, 537,590.72 and 219,780.16

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Solution

The fourth proportional to 389,546.88, 537,590.72 and 219,780.16 is: 303,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546.88 : 537,590.72 = 219,780.16 : x
  2. Step 2: Convert to fraction form
    389,546.88/537,590.72 = 219,780.16/x
  3. Step 3: Cross multiply
    389,546.88x = 537,590.72 × 219,780.16
  4. Step 4: Simplify right side
    389,546.88x = 118,151,774,456.12
  5. Step 5: Solve for x
    x = 118,151,774,456.12/389,546.88
  6. Step 6: Final answer
    x = 303,305.66

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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.