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Finding the Fourth Proportional to 356,878.31, 535,147.97 and 207,164.52

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Solution

The fourth proportional to 356,878.31, 535,147.97 and 207,164.52 is: 310,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,878.31 : 535,147.97 = 207,164.52 : x
  2. Step 2: Convert to fraction form
    356,878.31/535,147.97 = 207,164.52/x
  3. Step 3: Cross multiply
    356,878.31x = 535,147.97 × 207,164.52
  4. Step 4: Simplify right side
    356,878.31x = 110,863,671,298.20
  5. Step 5: Solve for x
    x = 110,863,671,298.20/356,878.31
  6. Step 6: Final answer
    x = 310,648.39

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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.