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Finding the Fourth Proportional to 538,157.16, 742,688.82 and 308,712.90

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Solution

The fourth proportional to 538,157.16, 742,688.82 and 308,712.90 is: 426,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,157.16 : 742,688.82 = 308,712.90 : x
  2. Step 2: Convert to fraction form
    538,157.16/742,688.82 = 308,712.90/x
  3. Step 3: Cross multiply
    538,157.16x = 742,688.82 × 308,712.90
  4. Step 4: Simplify right side
    538,157.16x = 229,277,619,419.78
  5. Step 5: Solve for x
    x = 229,277,619,419.78/538,157.16
  6. Step 6: Final answer
    x = 426,042.12

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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.