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Finding the Fourth Proportional to 420,096.50, 579,568.12 and 258,671.60

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Solution

The fourth proportional to 420,096.50, 579,568.12 and 258,671.60 is: 356,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,096.50 : 579,568.12 = 258,671.60 : x
  2. Step 2: Convert to fraction form
    420,096.50/579,568.12 = 258,671.60/x
  3. Step 3: Cross multiply
    420,096.50x = 579,568.12 × 258,671.60
  4. Step 4: Simplify right side
    420,096.50x = 149,917,809,364.87
  5. Step 5: Solve for x
    x = 149,917,809,364.87/420,096.50
  6. Step 6: Final answer
    x = 356,865.18

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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.