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Finding the Fourth Proportional to 538,224.16, 742,693.52 and 331,459.68

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Solution

The fourth proportional to 538,224.16, 742,693.52 and 331,459.68 is: 457,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,224.16 : 742,693.52 = 331,459.68 : x
  2. Step 2: Convert to fraction form
    538,224.16/742,693.52 = 331,459.68/x
  3. Step 3: Cross multiply
    538,224.16x = 742,693.52 × 331,459.68
  4. Step 4: Simplify right side
    538,224.16x = 246,172,956,477.27
  5. Step 5: Solve for x
    x = 246,172,956,477.27/538,224.16
  6. Step 6: Final answer
    x = 457,379.98

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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.