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Finding the Fourth Proportional to 538,358.42, 742,891.47 and 312,018.50

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Solution

The fourth proportional to 538,358.42, 742,891.47 and 312,018.50 is: 430,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,358.42 : 742,891.47 = 312,018.50 : x
  2. Step 2: Convert to fraction form
    538,358.42/742,891.47 = 312,018.50/x
  3. Step 3: Cross multiply
    538,358.42x = 742,891.47 × 312,018.50
  4. Step 4: Simplify right side
    538,358.42x = 231,795,882,819.35
  5. Step 5: Solve for x
    x = 231,795,882,819.35/538,358.42
  6. Step 6: Final answer
    x = 430,560.52

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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.