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Finding the Fourth Proportional to 257,486.66, 386,336.68 and 139,018.76

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Solution

The fourth proportional to 257,486.66, 386,336.68 and 139,018.76 is: 208,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,486.66 : 386,336.68 = 139,018.76 : x
  2. Step 2: Convert to fraction form
    257,486.66/386,336.68 = 139,018.76/x
  3. Step 3: Cross multiply
    257,486.66x = 386,336.68 × 139,018.76
  4. Step 4: Simplify right side
    257,486.66x = 53,708,046,196.12
  5. Step 5: Solve for x
    x = 53,708,046,196.12/257,486.66
  6. Step 6: Final answer
    x = 208,585.74

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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.