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Finding the Fourth Proportional to 390,429.54, 538,788.96 and 218,345.54

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Solution

The fourth proportional to 390,429.54, 538,788.96 and 218,345.54 is: 301,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,429.54 : 538,788.96 = 218,345.54 : x
  2. Step 2: Convert to fraction form
    390,429.54/538,788.96 = 218,345.54/x
  3. Step 3: Cross multiply
    390,429.54x = 538,788.96 × 218,345.54
  4. Step 4: Simplify right side
    390,429.54x = 117,642,163,723.29
  5. Step 5: Solve for x
    x = 117,642,163,723.29/390,429.54
  6. Step 6: Final answer
    x = 301,314.71

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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.