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Finding the Fourth Proportional to 257,479.96, 386,326.50 and 139,011.94

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Solution

The fourth proportional to 257,479.96, 386,326.50 and 139,011.94 is: 208,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,479.96 : 386,326.50 = 139,011.94 : x
  2. Step 2: Convert to fraction form
    257,479.96/386,326.50 = 139,011.94/x
  3. Step 3: Cross multiply
    257,479.96x = 386,326.50 × 139,011.94
  4. Step 4: Simplify right side
    257,479.96x = 53,703,996,238.41
  5. Step 5: Solve for x
    x = 53,703,996,238.41/257,479.96
  6. Step 6: Final answer
    x = 208,575.44

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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.