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Finding the Fourth Proportional to 405,098.56, 607,721.68 and 138,886

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Solution

The fourth proportional to 405,098.56, 607,721.68 and 138,886 is: 208,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,098.56 : 607,721.68 = 138,886 : x
  2. Step 2: Convert to fraction form
    405,098.56/607,721.68 = 138,886/x
  3. Step 3: Cross multiply
    405,098.56x = 607,721.68 × 138,886
  4. Step 4: Simplify right side
    405,098.56x = 84,404,033,248.48
  5. Step 5: Solve for x
    x = 84,404,033,248.48/405,098.56
  6. Step 6: Final answer
    x = 208,354.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.