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Finding the Fourth Proportional to 645,646, 890,949.36 and 359,155.84

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Solution

The fourth proportional to 645,646, 890,949.36 and 359,155.84 is: 495,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,646 : 890,949.36 = 359,155.84 : x
  2. Step 2: Convert to fraction form
    645,646/890,949.36 = 359,155.84/x
  3. Step 3: Cross multiply
    645,646x = 890,949.36 × 359,155.84
  4. Step 4: Simplify right side
    645,646x = 319,989,665,788.26
  5. Step 5: Solve for x
    x = 319,989,665,788.26/645,646
  6. Step 6: Final answer
    x = 495,611.63

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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.