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Finding the Fourth Proportional to 538,001.86, 742,275.06 and 305,390.11

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Solution

The fourth proportional to 538,001.86, 742,275.06 and 305,390.11 is: 421,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,001.86 : 742,275.06 = 305,390.11 : x
  2. Step 2: Convert to fraction form
    538,001.86/742,275.06 = 305,390.11/x
  3. Step 3: Cross multiply
    538,001.86x = 742,275.06 × 305,390.11
  4. Step 4: Simplify right side
    538,001.86x = 226,683,462,223.66
  5. Step 5: Solve for x
    x = 226,683,462,223.66/538,001.86
  6. Step 6: Final answer
    x = 421,343.27

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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.