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Finding the Fourth Proportional to 255,224.80, 382,555.14 and 105,382.48

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Solution

The fourth proportional to 255,224.80, 382,555.14 and 105,382.48 is: 157,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224.80 : 382,555.14 = 105,382.48 : x
  2. Step 2: Convert to fraction form
    255,224.80/382,555.14 = 105,382.48/x
  3. Step 3: Cross multiply
    255,224.80x = 382,555.14 × 105,382.48
  4. Step 4: Simplify right side
    255,224.80x = 40,314,609,389.95
  5. Step 5: Solve for x
    x = 40,314,609,389.95/255,224.80
  6. Step 6: Final answer
    x = 157,957.26

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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.