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Finding the Fourth Proportional to 390,514.50, 538,910.01 and 211,666.50

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Solution

The fourth proportional to 390,514.50, 538,910.01 and 211,666.50 is: 292,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,514.50 : 538,910.01 = 211,666.50 : x
  2. Step 2: Convert to fraction form
    390,514.50/538,910.01 = 211,666.50/x
  3. Step 3: Cross multiply
    390,514.50x = 538,910.01 × 211,666.50
  4. Step 4: Simplify right side
    390,514.50x = 114,069,195,631.67
  5. Step 5: Solve for x
    x = 114,069,195,631.67/390,514.50
  6. Step 6: Final answer
    x = 292,099.77

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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.