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Finding the Fourth Proportional to 257,978.80, 386,838.60 and 117,578.80

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Solution

The fourth proportional to 257,978.80, 386,838.60 and 117,578.80 is: 176,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978.80 : 386,838.60 = 117,578.80 : x
  2. Step 2: Convert to fraction form
    257,978.80/386,838.60 = 117,578.80/x
  3. Step 3: Cross multiply
    257,978.80x = 386,838.60 × 117,578.80
  4. Step 4: Simplify right side
    257,978.80x = 45,484,018,381.68
  5. Step 5: Solve for x
    x = 45,484,018,381.68/257,978.80
  6. Step 6: Final answer
    x = 176,309.13

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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.