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Finding the Fourth Proportional to 538,052.61, 742,457.66 and 331,288.17

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Solution

The fourth proportional to 538,052.61, 742,457.66 and 331,288.17 is: 457,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,052.61 : 742,457.66 = 331,288.17 : x
  2. Step 2: Convert to fraction form
    538,052.61/742,457.66 = 331,288.17/x
  3. Step 3: Cross multiply
    538,052.61x = 742,457.66 × 331,288.17
  4. Step 4: Simplify right side
    538,052.61x = 245,967,439,483.88
  5. Step 5: Solve for x
    x = 245,967,439,483.88/538,052.61
  6. Step 6: Final answer
    x = 457,143.85

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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.