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Finding the Fourth Proportional to 472,244.40, 651,711.49 and 257,398.38

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Solution

The fourth proportional to 472,244.40, 651,711.49 and 257,398.38 is: 355,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,244.40 : 651,711.49 = 257,398.38 : x
  2. Step 2: Convert to fraction form
    472,244.40/651,711.49 = 257,398.38/x
  3. Step 3: Cross multiply
    472,244.40x = 651,711.49 × 257,398.38
  4. Step 4: Simplify right side
    472,244.40x = 167,749,481,109.89
  5. Step 5: Solve for x
    x = 167,749,481,109.89/472,244.40
  6. Step 6: Final answer
    x = 355,217.51

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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.