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Finding the Fourth Proportional to 491,098.64, 736,648 and 324,847.76

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Solution

The fourth proportional to 491,098.64, 736,648 and 324,847.76 is: 487,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,098.64 : 736,648 = 324,847.76 : x
  2. Step 2: Convert to fraction form
    491,098.64/736,648 = 324,847.76/x
  3. Step 3: Cross multiply
    491,098.64x = 736,648 × 324,847.76
  4. Step 4: Simplify right side
    491,098.64x = 239,298,452,708.48
  5. Step 5: Solve for x
    x = 239,298,452,708.48/491,098.64
  6. Step 6: Final answer
    x = 487,271.67

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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.