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Finding the Fourth Proportional to 319,432.84, 440,815.48 and 176,192.56

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Solution

The fourth proportional to 319,432.84, 440,815.48 and 176,192.56 is: 243,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,432.84 : 440,815.48 = 176,192.56 : x
  2. Step 2: Convert to fraction form
    319,432.84/440,815.48 = 176,192.56/x
  3. Step 3: Cross multiply
    319,432.84x = 440,815.48 × 176,192.56
  4. Step 4: Simplify right side
    319,432.84x = 77,668,407,908.83
  5. Step 5: Solve for x
    x = 77,668,407,908.83/319,432.84
  6. Step 6: Final answer
    x = 243,144.72

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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.