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Finding the Fourth Proportional to 210,320, 315,480.68 and 52,548.47

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Solution

The fourth proportional to 210,320, 315,480.68 and 52,548.47 is: 78,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,320 : 315,480.68 = 52,548.47 : x
  2. Step 2: Convert to fraction form
    210,320/315,480.68 = 52,548.47/x
  3. Step 3: Cross multiply
    210,320x = 315,480.68 × 52,548.47
  4. Step 4: Simplify right side
    210,320x = 16,578,026,785.82
  5. Step 5: Solve for x
    x = 16,578,026,785.82/210,320
  6. Step 6: Final answer
    x = 78,822.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.