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Finding the Fourth Proportional to 255,382.20, 382,403.70 and 180,094.32

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Solution

The fourth proportional to 255,382.20, 382,403.70 and 180,094.32 is: 269,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,382.20 : 382,403.70 = 180,094.32 : x
  2. Step 2: Convert to fraction form
    255,382.20/382,403.70 = 180,094.32/x
  3. Step 3: Cross multiply
    255,382.20x = 382,403.70 × 180,094.32
  4. Step 4: Simplify right side
    255,382.20x = 68,868,734,316.98
  5. Step 5: Solve for x
    x = 68,868,734,316.98/255,382.20
  6. Step 6: Final answer
    x = 269,669.28

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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.