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Finding the Fourth Proportional to 472,756.50, 652,403.97 and 257,897.42

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Solution

The fourth proportional to 472,756.50, 652,403.97 and 257,897.42 is: 355,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.50 : 652,403.97 = 257,897.42 : x
  2. Step 2: Convert to fraction form
    472,756.50/652,403.97 = 257,897.42/x
  3. Step 3: Cross multiply
    472,756.50x = 652,403.97 × 257,897.42
  4. Step 4: Simplify right side
    472,756.50x = 168,253,299,845.25
  5. Step 5: Solve for x
    x = 168,253,299,845.25/472,756.50
  6. Step 6: Final answer
    x = 355,898.44

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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.