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Finding the Fourth Proportional to 398,090.81, 596,604.19 and 145,133.68

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Solution

The fourth proportional to 398,090.81, 596,604.19 and 145,133.68 is: 217,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,090.81 : 596,604.19 = 145,133.68 : x
  2. Step 2: Convert to fraction form
    398,090.81/596,604.19 = 145,133.68/x
  3. Step 3: Cross multiply
    398,090.81x = 596,604.19 × 145,133.68
  4. Step 4: Simplify right side
    398,090.81x = 86,587,359,743.77
  5. Step 5: Solve for x
    x = 86,587,359,743.77/398,090.81
  6. Step 6: Final answer
    x = 217,506.56

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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.