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Finding the Fourth Proportional to 813,050, 1,122,009 and 455,354

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Solution

The fourth proportional to 813,050, 1,122,009 and 455,354 is: 628,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,050 : 1,122,009 = 455,354 : x
  2. Step 2: Convert to fraction form
    813,050/1,122,009 = 455,354/x
  3. Step 3: Cross multiply
    813,050x = 1,122,009 × 455,354
  4. Step 4: Simplify right side
    813,050x = 510,911,286,186
  5. Step 5: Solve for x
    x = 510,911,286,186/813,050
  6. Step 6: Final answer
    x = 628,388.52

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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.