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Finding the Fourth Proportional to 319,430, 440,815.44 and 176,193.92

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Solution

The fourth proportional to 319,430, 440,815.44 and 176,193.92 is: 243,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,430 : 440,815.44 = 176,193.92 : x
  2. Step 2: Convert to fraction form
    319,430/440,815.44 = 176,193.92/x
  3. Step 3: Cross multiply
    319,430x = 440,815.44 × 176,193.92
  4. Step 4: Simplify right side
    319,430x = 77,669,000,370.12
  5. Step 5: Solve for x
    x = 77,669,000,370.12/319,430
  6. Step 6: Final answer
    x = 243,148.73

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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.