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Finding the Fourth Proportional to 309,027.60, 463,498.20 and 98,686.80

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Solution

The fourth proportional to 309,027.60, 463,498.20 and 98,686.80 is: 148,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,027.60 : 463,498.20 = 98,686.80 : x
  2. Step 2: Convert to fraction form
    309,027.60/463,498.20 = 98,686.80/x
  3. Step 3: Cross multiply
    309,027.60x = 463,498.20 × 98,686.80
  4. Step 4: Simplify right side
    309,027.60x = 45,741,154,163.76
  5. Step 5: Solve for x
    x = 45,741,154,163.76/309,027.60
  6. Step 6: Final answer
    x = 148,016.40

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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.