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Finding the Fourth Proportional to 389,189.64, 537,060.84 and 219,412.82

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Solution

The fourth proportional to 389,189.64, 537,060.84 and 219,412.82 is: 302,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,189.64 : 537,060.84 = 219,412.82 : x
  2. Step 2: Convert to fraction form
    389,189.64/537,060.84 = 219,412.82/x
  3. Step 3: Cross multiply
    389,189.64x = 537,060.84 × 219,412.82
  4. Step 4: Simplify right side
    389,189.64x = 117,838,033,415.97
  5. Step 5: Solve for x
    x = 117,838,033,415.97/389,189.64
  6. Step 6: Final answer
    x = 302,777.93

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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.