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Finding the Fourth Proportional to 398,091.81, 596,605.69 and 145,134.68

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Solution

The fourth proportional to 398,091.81, 596,605.69 and 145,134.68 is: 217,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,091.81 : 596,605.69 = 145,134.68 : x
  2. Step 2: Convert to fraction form
    398,091.81/596,605.69 = 145,134.68/x
  3. Step 3: Cross multiply
    398,091.81x = 596,605.69 × 145,134.68
  4. Step 4: Simplify right side
    398,091.81x = 86,588,175,904.33
  5. Step 5: Solve for x
    x = 86,588,175,904.33/398,091.81
  6. Step 6: Final answer
    x = 217,508.06

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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.