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Finding the Fourth Proportional to 228,617.64, 342,312.12 and 186,324.84

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Solution

The fourth proportional to 228,617.64, 342,312.12 and 186,324.84 is: 278,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,617.64 : 342,312.12 = 186,324.84 : x
  2. Step 2: Convert to fraction form
    228,617.64/342,312.12 = 186,324.84/x
  3. Step 3: Cross multiply
    228,617.64x = 342,312.12 × 186,324.84
  4. Step 4: Simplify right side
    228,617.64x = 63,781,250,989.06
  5. Step 5: Solve for x
    x = 63,781,250,989.06/228,617.64
  6. Step 6: Final answer
    x = 278,986.57

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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.