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Finding the Fourth Proportional to 283,071.34, 390,647.80 and 162,235.80

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Solution

The fourth proportional to 283,071.34, 390,647.80 and 162,235.80 is: 223,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,071.34 : 390,647.80 = 162,235.80 : x
  2. Step 2: Convert to fraction form
    283,071.34/390,647.80 = 162,235.80/x
  3. Step 3: Cross multiply
    283,071.34x = 390,647.80 × 162,235.80
  4. Step 4: Simplify right side
    283,071.34x = 63,377,058,351.24
  5. Step 5: Solve for x
    x = 63,377,058,351.24/283,071.34
  6. Step 6: Final answer
    x = 223,890.76

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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.