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Finding the Fourth Proportional to 813,056, 1,122,017.28 and 455,360

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Solution

The fourth proportional to 813,056, 1,122,017.28 and 455,360 is: 628,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,056 : 1,122,017.28 = 455,360 : x
  2. Step 2: Convert to fraction form
    813,056/1,122,017.28 = 455,360/x
  3. Step 3: Cross multiply
    813,056x = 1,122,017.28 × 455,360
  4. Step 4: Simplify right side
    813,056x = 510,921,788,620.80
  5. Step 5: Solve for x
    x = 510,921,788,620.80/813,056
  6. Step 6: Final answer
    x = 628,396.80

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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.