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Finding the Fourth Proportional to 257,456.91, 385,682.59 and 122,328.66

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Solution

The fourth proportional to 257,456.91, 385,682.59 and 122,328.66 is: 183,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,456.91 : 385,682.59 = 122,328.66 : x
  2. Step 2: Convert to fraction form
    257,456.91/385,682.59 = 122,328.66/x
  3. Step 3: Cross multiply
    257,456.91x = 385,682.59 × 122,328.66
  4. Step 4: Simplify right side
    257,456.91x = 47,180,033,808.39
  5. Step 5: Solve for x
    x = 47,180,033,808.39/257,456.91
  6. Step 6: Final answer
    x = 183,254.10

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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.