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Finding the Fourth Proportional to 413,568.80, 620,936.40 and 256,104.80

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Solution

The fourth proportional to 413,568.80, 620,936.40 and 256,104.80 is: 384,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,568.80 : 620,936.40 = 256,104.80 : x
  2. Step 2: Convert to fraction form
    413,568.80/620,936.40 = 256,104.80/x
  3. Step 3: Cross multiply
    413,568.80x = 620,936.40 × 256,104.80
  4. Step 4: Simplify right side
    413,568.80x = 159,024,792,534.72
  5. Step 5: Solve for x
    x = 159,024,792,534.72/413,568.80
  6. Step 6: Final answer
    x = 384,518.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.