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Finding the Fourth Proportional to 472,720.50, 652,343.22 and 257,862.24

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Solution

The fourth proportional to 472,720.50, 652,343.22 and 257,862.24 is: 355,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,720.50 : 652,343.22 = 257,862.24 : x
  2. Step 2: Convert to fraction form
    472,720.50/652,343.22 = 257,862.24/x
  3. Step 3: Cross multiply
    472,720.50x = 652,343.22 × 257,862.24
  4. Step 4: Simplify right side
    472,720.50x = 168,214,683,958.01
  5. Step 5: Solve for x
    x = 168,214,683,958.01/472,720.50
  6. Step 6: Final answer
    x = 355,843.85

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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.