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Finding the Fourth Proportional to 319,324.32, 440,657.46 and 176,090.40

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Solution

The fourth proportional to 319,324.32, 440,657.46 and 176,090.40 is: 242,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,324.32 : 440,657.46 = 176,090.40 : x
  2. Step 2: Convert to fraction form
    319,324.32/440,657.46 = 176,090.40/x
  3. Step 3: Cross multiply
    319,324.32x = 440,657.46 × 176,090.40
  4. Step 4: Simplify right side
    319,324.32x = 77,595,548,394.38
  5. Step 5: Solve for x
    x = 77,595,548,394.38/319,324.32
  6. Step 6: Final answer
    x = 242,999.18

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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.