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Finding the Fourth Proportional to 385,270, 531,672.60 and 251,134

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Solution

The fourth proportional to 385,270, 531,672.60 and 251,134 is: 346,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,270 : 531,672.60 = 251,134 : x
  2. Step 2: Convert to fraction form
    385,270/531,672.60 = 251,134/x
  3. Step 3: Cross multiply
    385,270x = 531,672.60 × 251,134
  4. Step 4: Simplify right side
    385,270x = 133,521,066,728.40
  5. Step 5: Solve for x
    x = 133,521,066,728.40/385,270
  6. Step 6: Final answer
    x = 346,564.92

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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.