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Finding the Fourth Proportional to 538,116.08, 742,600.11 and 296,398.64

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Solution

The fourth proportional to 538,116.08, 742,600.11 and 296,398.64 is: 409,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,116.08 : 742,600.11 = 296,398.64 : x
  2. Step 2: Convert to fraction form
    538,116.08/742,600.11 = 296,398.64/x
  3. Step 3: Cross multiply
    538,116.08x = 742,600.11 × 296,398.64
  4. Step 4: Simplify right side
    538,116.08x = 220,105,664,524.35
  5. Step 5: Solve for x
    x = 220,105,664,524.35/538,116.08
  6. Step 6: Final answer
    x = 409,030.08

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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.