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Finding the Fourth Proportional to 613,506.81, 920,272.95 and 164,227.14

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Solution

The fourth proportional to 613,506.81, 920,272.95 and 164,227.14 is: 246,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,506.81 : 920,272.95 = 164,227.14 : x
  2. Step 2: Convert to fraction form
    613,506.81/920,272.95 = 164,227.14/x
  3. Step 3: Cross multiply
    613,506.81x = 920,272.95 × 164,227.14
  4. Step 4: Simplify right side
    613,506.81x = 151,133,794,597.86
  5. Step 5: Solve for x
    x = 151,133,794,597.86/613,506.81
  6. Step 6: Final answer
    x = 246,344.12

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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.