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Finding the Fourth Proportional to 257,418.46, 354,843.70 and 180,722.40

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Solution

The fourth proportional to 257,418.46, 354,843.70 and 180,722.40 is: 249,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,418.46 : 354,843.70 = 180,722.40 : x
  2. Step 2: Convert to fraction form
    257,418.46/354,843.70 = 180,722.40/x
  3. Step 3: Cross multiply
    257,418.46x = 354,843.70 × 180,722.40
  4. Step 4: Simplify right side
    257,418.46x = 64,128,205,088.88
  5. Step 5: Solve for x
    x = 64,128,205,088.88/257,418.46
  6. Step 6: Final answer
    x = 249,120.46

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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.