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Finding the Fourth Proportional to 813,048, 1,122,006.24 and 455,352

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Solution

The fourth proportional to 813,048, 1,122,006.24 and 455,352 is: 628,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,048 : 1,122,006.24 = 455,352 : x
  2. Step 2: Convert to fraction form
    813,048/1,122,006.24 = 455,352/x
  3. Step 3: Cross multiply
    813,048x = 1,122,006.24 × 455,352
  4. Step 4: Simplify right side
    813,048x = 510,907,785,396.48
  5. Step 5: Solve for x
    x = 510,907,785,396.48/813,048
  6. Step 6: Final answer
    x = 628,385.76

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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.