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Finding the Fourth Proportional to 410,745.40, 616,118.10 and 115,257.40

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Solution

The fourth proportional to 410,745.40, 616,118.10 and 115,257.40 is: 172,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,745.40 : 616,118.10 = 115,257.40 : x
  2. Step 2: Convert to fraction form
    410,745.40/616,118.10 = 115,257.40/x
  3. Step 3: Cross multiply
    410,745.40x = 616,118.10 × 115,257.40
  4. Step 4: Simplify right side
    410,745.40x = 71,012,170,298.94
  5. Step 5: Solve for x
    x = 71,012,170,298.94/410,745.40
  6. Step 6: Final answer
    x = 172,886.10

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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.