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Finding the Fourth Proportional to 257,800, 386,684.46 and 153,284.08

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Solution

The fourth proportional to 257,800, 386,684.46 and 153,284.08 is: 229,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,800 : 386,684.46 = 153,284.08 : x
  2. Step 2: Convert to fraction form
    257,800/386,684.46 = 153,284.08/x
  3. Step 3: Cross multiply
    257,800x = 386,684.46 × 153,284.08
  4. Step 4: Simplify right side
    257,800x = 59,272,571,701.40
  5. Step 5: Solve for x
    x = 59,272,571,701.40/257,800
  6. Step 6: Final answer
    x = 229,916.88

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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.