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Finding the Fourth Proportional to 645,224, 890,367 and 358,733.48

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Solution

The fourth proportional to 645,224, 890,367 and 358,733.48 is: 495,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,224 : 890,367 = 358,733.48 : x
  2. Step 2: Convert to fraction form
    645,224/890,367 = 358,733.48/x
  3. Step 3: Cross multiply
    645,224x = 890,367 × 358,733.48
  4. Step 4: Simplify right side
    645,224x = 319,404,452,387.16
  5. Step 5: Solve for x
    x = 319,404,452,387.16/645,224
  6. Step 6: Final answer
    x = 495,028.78

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1.5x scale

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.