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Finding the Fourth Proportional to 390,448.50, 538,819.29 and 211,600.50

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Solution

The fourth proportional to 390,448.50, 538,819.29 and 211,600.50 is: 292,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,448.50 : 538,819.29 = 211,600.50 : x
  2. Step 2: Convert to fraction form
    390,448.50/538,819.29 = 211,600.50/x
  3. Step 3: Cross multiply
    390,448.50x = 538,819.29 × 211,600.50
  4. Step 4: Simplify right side
    390,448.50x = 114,014,431,173.65
  5. Step 5: Solve for x
    x = 114,014,431,173.65/390,448.50
  6. Step 6: Final answer
    x = 292,008.89

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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.