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Finding the Fourth Proportional to 306,029.60, 459,117.30 and 148,128.20

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Solution

The fourth proportional to 306,029.60, 459,117.30 and 148,128.20 is: 222,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029.60 : 459,117.30 = 148,128.20 : x
  2. Step 2: Convert to fraction form
    306,029.60/459,117.30 = 148,128.20/x
  3. Step 3: Cross multiply
    306,029.60x = 459,117.30 × 148,128.20
  4. Step 4: Simplify right side
    306,029.60x = 68,008,219,237.86
  5. Step 5: Solve for x
    x = 68,008,219,237.86/306,029.60
  6. Step 6: Final answer
    x = 222,227.59

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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.