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Finding the Fourth Proportional to 257,650.92, 386,434.80 and 70,618.68

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Solution

The fourth proportional to 257,650.92, 386,434.80 and 70,618.68 is: 105,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,650.92 : 386,434.80 = 70,618.68 : x
  2. Step 2: Convert to fraction form
    257,650.92/386,434.80 = 70,618.68/x
  3. Step 3: Cross multiply
    257,650.92x = 386,434.80 × 70,618.68
  4. Step 4: Simplify right side
    257,650.92x = 27,289,515,482.06
  5. Step 5: Solve for x
    x = 27,289,515,482.06/257,650.92
  6. Step 6: Final answer
    x = 105,916.62

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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.