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Finding the Fourth Proportional to 257,393.78, 385,663.95 and 182,141.06

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Solution

The fourth proportional to 257,393.78, 385,663.95 and 182,141.06 is: 272,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,393.78 : 385,663.95 = 182,141.06 : x
  2. Step 2: Convert to fraction form
    257,393.78/385,663.95 = 182,141.06/x
  3. Step 3: Cross multiply
    257,393.78x = 385,663.95 × 182,141.06
  4. Step 4: Simplify right side
    257,393.78x = 70,245,240,656.79
  5. Step 5: Solve for x
    x = 70,245,240,656.79/257,393.78
  6. Step 6: Final answer
    x = 272,909.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.