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Finding the Fourth Proportional to 319,527.45, 440,940.51 and 176,287.50

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Solution

The fourth proportional to 319,527.45, 440,940.51 and 176,287.50 is: 243,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,527.45 : 440,940.51 = 176,287.50 : x
  2. Step 2: Convert to fraction form
    319,527.45/440,940.51 = 176,287.50/x
  3. Step 3: Cross multiply
    319,527.45x = 440,940.51 × 176,287.50
  4. Step 4: Simplify right side
    319,527.45x = 77,732,300,156.63
  5. Step 5: Solve for x
    x = 77,732,300,156.63/319,527.45
  6. Step 6: Final answer
    x = 243,272.68

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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.