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Finding the Fourth Proportional to 538,002.37, 742,275.75 and 305,390.62

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Solution

The fourth proportional to 538,002.37, 742,275.75 and 305,390.62 is: 421,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,002.37 : 742,275.75 = 305,390.62 : x
  2. Step 2: Convert to fraction form
    538,002.37/742,275.75 = 305,390.62/x
  3. Step 3: Cross multiply
    538,002.37x = 742,275.75 × 305,390.62
  4. Step 4: Simplify right side
    538,002.37x = 226,684,051,503.47
  5. Step 5: Solve for x
    x = 226,684,051,503.47/538,002.37
  6. Step 6: Final answer
    x = 421,343.96

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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.