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Finding the Fourth Proportional to 389,320, 537,262.88 and 210,473.28

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Solution

The fourth proportional to 389,320, 537,262.88 and 210,473.28 is: 290,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,320 : 537,262.88 = 210,473.28 : x
  2. Step 2: Convert to fraction form
    389,320/537,262.88 = 210,473.28/x
  3. Step 3: Cross multiply
    389,320x = 537,262.88 × 210,473.28
  4. Step 4: Simplify right side
    389,320x = 113,079,480,575.85
  5. Step 5: Solve for x
    x = 113,079,480,575.85/389,320
  6. Step 6: Final answer
    x = 290,453.82

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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.