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Finding the Fourth Proportional to 499,203.09, 748,656.81 and 144,220.32

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Solution

The fourth proportional to 499,203.09, 748,656.81 and 144,220.32 is: 216,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,203.09 : 748,656.81 = 144,220.32 : x
  2. Step 2: Convert to fraction form
    499,203.09/748,656.81 = 144,220.32/x
  3. Step 3: Cross multiply
    499,203.09x = 748,656.81 × 144,220.32
  4. Step 4: Simplify right side
    499,203.09x = 107,971,524,708.38
  5. Step 5: Solve for x
    x = 107,971,524,708.38/499,203.09
  6. Step 6: Final answer
    x = 216,287.77

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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.