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Finding the Fourth Proportional to 298,457.60, 447,719.20 and 98,705.22

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Solution

The fourth proportional to 298,457.60, 447,719.20 and 98,705.22 is: 148,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,457.60 : 447,719.20 = 98,705.22 : x
  2. Step 2: Convert to fraction form
    298,457.60/447,719.20 = 98,705.22/x
  3. Step 3: Cross multiply
    298,457.60x = 447,719.20 × 98,705.22
  4. Step 4: Simplify right side
    298,457.60x = 44,192,222,134.22
  5. Step 5: Solve for x
    x = 44,192,222,134.22/298,457.60
  6. Step 6: Final answer
    x = 148,068.68

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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.