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Finding the Fourth Proportional to 420,690.75, 580,258.65 and 284,664.82

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Solution

The fourth proportional to 420,690.75, 580,258.65 and 284,664.82 is: 392,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,690.75 : 580,258.65 = 284,664.82 : x
  2. Step 2: Convert to fraction form
    420,690.75/580,258.65 = 284,664.82/x
  3. Step 3: Cross multiply
    420,690.75x = 580,258.65 × 284,664.82
  4. Step 4: Simplify right side
    420,690.75x = 165,179,224,155.69
  5. Step 5: Solve for x
    x = 165,179,224,155.69/420,690.75
  6. Step 6: Final answer
    x = 392,638.12

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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.