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Finding the Fourth Proportional to 319,548.48, 440,978.40 and 176,308.48

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Solution

The fourth proportional to 319,548.48, 440,978.40 and 176,308.48 is: 243,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,548.48 : 440,978.40 = 176,308.48 : x
  2. Step 2: Convert to fraction form
    319,548.48/440,978.40 = 176,308.48/x
  3. Step 3: Cross multiply
    319,548.48x = 440,978.40 × 176,308.48
  4. Step 4: Simplify right side
    319,548.48x = 77,748,231,416.83
  5. Step 5: Solve for x
    x = 77,748,231,416.83/319,548.48
  6. Step 6: Final answer
    x = 243,306.53

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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.