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Finding the Fourth Proportional to 306,220.96, 459,404.72 and 148,264.80

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Solution

The fourth proportional to 306,220.96, 459,404.72 and 148,264.80 is: 222,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,220.96 : 459,404.72 = 148,264.80 : x
  2. Step 2: Convert to fraction form
    306,220.96/459,404.72 = 148,264.80/x
  3. Step 3: Cross multiply
    306,220.96x = 459,404.72 × 148,264.80
  4. Step 4: Simplify right side
    306,220.96x = 68,113,548,929.86
  5. Step 5: Solve for x
    x = 68,113,548,929.86/306,220.96
  6. Step 6: Final answer
    x = 222,432.68

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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.