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Finding the Fourth Proportional to 385,068.81, 531,232.24 and 257,785.41

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Solution

The fourth proportional to 385,068.81, 531,232.24 and 257,785.41 is: 355,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,068.81 : 531,232.24 = 257,785.41 : x
  2. Step 2: Convert to fraction form
    385,068.81/531,232.24 = 257,785.41/x
  3. Step 3: Cross multiply
    385,068.81x = 531,232.24 × 257,785.41
  4. Step 4: Simplify right side
    385,068.81x = 136,943,920,793.62
  5. Step 5: Solve for x
    x = 136,943,920,793.62/385,068.81
  6. Step 6: Final answer
    x = 355,634.93

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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.