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Finding the Fourth Proportional to 257,252.86, 385,879.44 and 107,411.47

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Solution

The fourth proportional to 257,252.86, 385,879.44 and 107,411.47 is: 161,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,252.86 : 385,879.44 = 107,411.47 : x
  2. Step 2: Convert to fraction form
    257,252.86/385,879.44 = 107,411.47/x
  3. Step 3: Cross multiply
    257,252.86x = 385,879.44 × 107,411.47
  4. Step 4: Simplify right side
    257,252.86x = 41,447,877,331.27
  5. Step 5: Solve for x
    x = 41,447,877,331.27/257,252.86
  6. Step 6: Final answer
    x = 161,117.26

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1.5x scale

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.