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Finding the Fourth Proportional to 310,672.82, 428,678.47 and 174,698.66

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Solution

The fourth proportional to 310,672.82, 428,678.47 and 174,698.66 is: 241,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,672.82 : 428,678.47 = 174,698.66 : x
  2. Step 2: Convert to fraction form
    310,672.82/428,678.47 = 174,698.66/x
  3. Step 3: Cross multiply
    310,672.82x = 428,678.47 × 174,698.66
  4. Step 4: Simplify right side
    310,672.82x = 74,889,552,136.46
  5. Step 5: Solve for x
    x = 74,889,552,136.46/310,672.82
  6. Step 6: Final answer
    x = 241,056.02

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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.