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Finding the Fourth Proportional to 408,762.39, 613,165.44 and 128,301.51

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Solution

The fourth proportional to 408,762.39, 613,165.44 and 128,301.51 is: 192,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,762.39 : 613,165.44 = 128,301.51 : x
  2. Step 2: Convert to fraction form
    408,762.39/613,165.44 = 128,301.51/x
  3. Step 3: Cross multiply
    408,762.39x = 613,165.44 × 128,301.51
  4. Step 4: Simplify right side
    408,762.39x = 78,670,051,831.81
  5. Step 5: Solve for x
    x = 78,670,051,831.81/408,762.39
  6. Step 6: Final answer
    x = 192,459.12

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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.