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Finding the Fourth Proportional to 405,098.88, 607,722.12 and 138,886.32

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Solution

The fourth proportional to 405,098.88, 607,722.12 and 138,886.32 is: 208,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,098.88 : 607,722.12 = 138,886.32 : x
  2. Step 2: Convert to fraction form
    405,098.88/607,722.12 = 138,886.32/x
  3. Step 3: Cross multiply
    405,098.88x = 607,722.12 × 138,886.32
  4. Step 4: Simplify right side
    405,098.88x = 84,404,288,829.40
  5. Step 5: Solve for x
    x = 84,404,288,829.40/405,098.88
  6. Step 6: Final answer
    x = 208,354.78

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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.