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Finding the Fourth Proportional to 538,138.53, 742,632.03 and 296,421.98

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Solution

The fourth proportional to 538,138.53, 742,632.03 and 296,421.98 is: 409,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,138.53 : 742,632.03 = 296,421.98 : x
  2. Step 2: Convert to fraction form
    538,138.53/742,632.03 = 296,421.98/x
  3. Step 3: Cross multiply
    538,138.53x = 742,632.03 × 296,421.98
  4. Step 4: Simplify right side
    538,138.53x = 220,132,453,030.86
  5. Step 5: Solve for x
    x = 220,132,453,030.86/538,138.53
  6. Step 6: Final answer
    x = 409,062.80

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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.