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Finding the Fourth Proportional to 405,095.88, 607,717.62 and 138,883.32

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Solution

The fourth proportional to 405,095.88, 607,717.62 and 138,883.32 is: 208,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,095.88 : 607,717.62 = 138,883.32 : x
  2. Step 2: Convert to fraction form
    405,095.88/607,717.62 = 138,883.32/x
  3. Step 3: Cross multiply
    405,095.88x = 607,717.62 × 138,883.32
  4. Step 4: Simplify right side
    405,095.88x = 84,401,840,688.10
  5. Step 5: Solve for x
    x = 84,401,840,688.10/405,095.88
  6. Step 6: Final answer
    x = 208,350.28

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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.