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Finding the Fourth Proportional to 284,259.64, 426,612.32 and 198,311.58

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Solution

The fourth proportional to 284,259.64, 426,612.32 and 198,311.58 is: 297,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259.64 : 426,612.32 = 198,311.58 : x
  2. Step 2: Convert to fraction form
    284,259.64/426,612.32 = 198,311.58/x
  3. Step 3: Cross multiply
    284,259.64x = 426,612.32 × 198,311.58
  4. Step 4: Simplify right side
    284,259.64x = 84,602,160,102.05
  5. Step 5: Solve for x
    x = 84,602,160,102.05/284,259.64
  6. Step 6: Final answer
    x = 297,622.84

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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.