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Finding the Fourth Proportional to 457,244.69, 685,867.12 and 190,859.89

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Solution

The fourth proportional to 457,244.69, 685,867.12 and 190,859.89 is: 286,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,244.69 : 685,867.12 = 190,859.89 : x
  2. Step 2: Convert to fraction form
    457,244.69/685,867.12 = 190,859.89/x
  3. Step 3: Cross multiply
    457,244.69x = 685,867.12 × 190,859.89
  4. Step 4: Simplify right side
    457,244.69x = 130,904,523,838.19
  5. Step 5: Solve for x
    x = 130,904,523,838.19/457,244.69
  6. Step 6: Final answer
    x = 286,289.87

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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.