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Finding the Fourth Proportional to 298,451.16, 447,395.34 and 148,549.74

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Solution

The fourth proportional to 298,451.16, 447,395.34 and 148,549.74 is: 222,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,451.16 : 447,395.34 = 148,549.74 : x
  2. Step 2: Convert to fraction form
    298,451.16/447,395.34 = 148,549.74/x
  3. Step 3: Cross multiply
    298,451.16x = 447,395.34 × 148,549.74
  4. Step 4: Simplify right side
    298,451.16x = 66,460,461,434.21
  5. Step 5: Solve for x
    x = 66,460,461,434.21/298,451.16
  6. Step 6: Final answer
    x = 222,684.55

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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.