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Finding the Fourth Proportional to 440,903.81, 661,389.91 and 137,259.83

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Solution

The fourth proportional to 440,903.81, 661,389.91 and 137,259.83 is: 205,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,903.81 : 661,389.91 = 137,259.83 : x
  2. Step 2: Convert to fraction form
    440,903.81/661,389.91 = 137,259.83/x
  3. Step 3: Cross multiply
    440,903.81x = 661,389.91 × 137,259.83
  4. Step 4: Simplify right side
    440,903.81x = 90,782,267,920.64
  5. Step 5: Solve for x
    x = 90,782,267,920.64/440,903.81
  6. Step 6: Final answer
    x = 205,900.39

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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.