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Finding the Fourth Proportional to 319,462.40, 440,852.64 and 176,236.16

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Solution

The fourth proportional to 319,462.40, 440,852.64 and 176,236.16 is: 243,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,462.40 : 440,852.64 = 176,236.16 : x
  2. Step 2: Convert to fraction form
    319,462.40/440,852.64 = 176,236.16/x
  3. Step 3: Cross multiply
    319,462.40x = 440,852.64 × 176,236.16
  4. Step 4: Simplify right side
    319,462.40x = 77,694,176,399.46
  5. Step 5: Solve for x
    x = 77,694,176,399.46/319,462.40
  6. Step 6: Final answer
    x = 243,202.88

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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.