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Finding the Fourth Proportional to 538,088.72, 742,497.44 and 308,634.16

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Solution

The fourth proportional to 538,088.72, 742,497.44 and 308,634.16 is: 425,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,088.72 : 742,497.44 = 308,634.16 : x
  2. Step 2: Convert to fraction form
    538,088.72/742,497.44 = 308,634.16/x
  3. Step 3: Cross multiply
    538,088.72x = 742,497.44 × 308,634.16
  4. Step 4: Simplify right side
    538,088.72x = 229,160,073,696.55
  5. Step 5: Solve for x
    x = 229,160,073,696.55/538,088.72
  6. Step 6: Final answer
    x = 425,877.86

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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.