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Finding the Fourth Proportional to 405,092.88, 607,713.13 and 138,880.31

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Solution

The fourth proportional to 405,092.88, 607,713.13 and 138,880.31 is: 208,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,092.88 : 607,713.13 = 138,880.31 : x
  2. Step 2: Convert to fraction form
    405,092.88/607,713.13 = 138,880.31/x
  3. Step 3: Cross multiply
    405,092.88x = 607,713.13 × 138,880.31
  4. Step 4: Simplify right side
    405,092.88x = 84,399,385,020.51
  5. Step 5: Solve for x
    x = 84,399,385,020.51/405,092.88
  6. Step 6: Final answer
    x = 208,345.76

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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.