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Finding the Fourth Proportional to 298,411.60, 447,617.40 and 230,760.40

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Solution

The fourth proportional to 298,411.60, 447,617.40 and 230,760.40 is: 346,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411.60 : 447,617.40 = 230,760.40 : x
  2. Step 2: Convert to fraction form
    298,411.60/447,617.40 = 230,760.40/x
  3. Step 3: Cross multiply
    298,411.60x = 447,617.40 × 230,760.40
  4. Step 4: Simplify right side
    298,411.60x = 103,292,370,270.96
  5. Step 5: Solve for x
    x = 103,292,370,270.96/298,411.60
  6. Step 6: Final answer
    x = 346,140.60

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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.