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Finding the Fourth Proportional to 472,630.38, 652,004.82 and 319,722.09

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Solution

The fourth proportional to 472,630.38, 652,004.82 and 319,722.09 is: 441,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,630.38 : 652,004.82 = 319,722.09 : x
  2. Step 2: Convert to fraction form
    472,630.38/652,004.82 = 319,722.09/x
  3. Step 3: Cross multiply
    472,630.38x = 652,004.82 × 319,722.09
  4. Step 4: Simplify right side
    472,630.38x = 208,460,343,740.47
  5. Step 5: Solve for x
    x = 208,460,343,740.47/472,630.38
  6. Step 6: Final answer
    x = 441,064.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.