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Finding the Fourth Proportional to 472,690.69, 652,322.03 and 257,838.42

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Solution

The fourth proportional to 472,690.69, 652,322.03 and 257,838.42 is: 355,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,690.69 : 652,322.03 = 257,838.42 : x
  2. Step 2: Convert to fraction form
    472,690.69/652,322.03 = 257,838.42/x
  3. Step 3: Cross multiply
    472,690.69x = 652,322.03 × 257,838.42
  4. Step 4: Simplify right side
    472,690.69x = 168,193,682,703.41
  5. Step 5: Solve for x
    x = 168,193,682,703.41/472,690.69
  6. Step 6: Final answer
    x = 355,821.87

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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.