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Finding the Fourth Proportional to 298,129.20, 446,416.20 and 284,132.40

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Solution

The fourth proportional to 298,129.20, 446,416.20 and 284,132.40 is: 425,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,129.20 : 446,416.20 = 284,132.40 : x
  2. Step 2: Convert to fraction form
    298,129.20/446,416.20 = 284,132.40/x
  3. Step 3: Cross multiply
    298,129.20x = 446,416.20 × 284,132.40
  4. Step 4: Simplify right side
    298,129.20x = 126,841,306,304.88
  5. Step 5: Solve for x
    x = 126,841,306,304.88/298,129.20
  6. Step 6: Final answer
    x = 425,457.51

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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.