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Finding the Fourth Proportional to 429,703.20, 644,785.20 and 180,410.40

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Solution

The fourth proportional to 429,703.20, 644,785.20 and 180,410.40 is: 270,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,703.20 : 644,785.20 = 180,410.40 : x
  2. Step 2: Convert to fraction form
    429,703.20/644,785.20 = 180,410.40/x
  3. Step 3: Cross multiply
    429,703.20x = 644,785.20 × 180,410.40
  4. Step 4: Simplify right side
    429,703.20x = 116,325,955,846.08
  5. Step 5: Solve for x
    x = 116,325,955,846.08/429,703.20
  6. Step 6: Final answer
    x = 270,712.33

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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.