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Finding the Fourth Proportional to 538,211.90, 742,681.31 and 308,788.09

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Solution

The fourth proportional to 538,211.90, 742,681.31 and 308,788.09 is: 426,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,211.90 : 742,681.31 = 308,788.09 : x
  2. Step 2: Convert to fraction form
    538,211.90/742,681.31 = 308,788.09/x
  3. Step 3: Cross multiply
    538,211.90x = 742,681.31 × 308,788.09
  4. Step 4: Simplify right side
    538,211.90x = 229,331,139,792.95
  5. Step 5: Solve for x
    x = 229,331,139,792.95/538,211.90
  6. Step 6: Final answer
    x = 426,098.23

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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.