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Finding the Fourth Proportional to 284,259.52, 426,612.12 and 198,311.45

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Solution

The fourth proportional to 284,259.52, 426,612.12 and 198,311.45 is: 297,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259.52 : 426,612.12 = 198,311.45 : x
  2. Step 2: Convert to fraction form
    284,259.52/426,612.12 = 198,311.45/x
  3. Step 3: Cross multiply
    284,259.52x = 426,612.12 × 198,311.45
  4. Step 4: Simplify right side
    284,259.52x = 84,602,065,971.71
  5. Step 5: Solve for x
    x = 84,602,065,971.71/284,259.52
  6. Step 6: Final answer
    x = 297,622.63

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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.