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Finding the Fourth Proportional to 538,158.47, 742,662.47 and 308,725.76

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Solution

The fourth proportional to 538,158.47, 742,662.47 and 308,725.76 is: 426,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,158.47 : 742,662.47 = 308,725.76 : x
  2. Step 2: Convert to fraction form
    538,158.47/742,662.47 = 308,725.76/x
  3. Step 3: Cross multiply
    538,158.47x = 742,662.47 × 308,725.76
  4. Step 4: Simplify right side
    538,158.47x = 229,279,038,102.70
  5. Step 5: Solve for x
    x = 229,279,038,102.70/538,158.47
  6. Step 6: Final answer
    x = 426,043.73

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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.