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Finding the Fourth Proportional to 356,312.86, 491,760.65 and 218,467.40

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Solution

The fourth proportional to 356,312.86, 491,760.65 and 218,467.40 is: 301,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,312.86 : 491,760.65 = 218,467.40 : x
  2. Step 2: Convert to fraction form
    356,312.86/491,760.65 = 218,467.40/x
  3. Step 3: Cross multiply
    356,312.86x = 491,760.65 × 218,467.40
  4. Step 4: Simplify right side
    356,312.86x = 107,433,668,715.18
  5. Step 5: Solve for x
    x = 107,433,668,715.18/356,312.86
  6. Step 6: Final answer
    x = 301,514.99

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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.