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Finding the Fourth Proportional to 472,705.02, 652,334.94 and 257,849.70

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Solution

The fourth proportional to 472,705.02, 652,334.94 and 257,849.70 is: 355,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,705.02 : 652,334.94 = 257,849.70 : x
  2. Step 2: Convert to fraction form
    472,705.02/652,334.94 = 257,849.70/x
  3. Step 3: Cross multiply
    472,705.02x = 652,334.94 × 257,849.70
  4. Step 4: Simplify right side
    472,705.02x = 168,204,368,578.52
  5. Step 5: Solve for x
    x = 168,204,368,578.52/472,705.02
  6. Step 6: Final answer
    x = 355,833.68

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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.