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Finding the Fourth Proportional to 402,834.20, 604,445.70 and 284,250.20

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Solution

The fourth proportional to 402,834.20, 604,445.70 and 284,250.20 is: 426,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,834.20 : 604,445.70 = 284,250.20 : x
  2. Step 2: Convert to fraction form
    402,834.20/604,445.70 = 284,250.20/x
  3. Step 3: Cross multiply
    402,834.20x = 604,445.70 × 284,250.20
  4. Step 4: Simplify right side
    402,834.20x = 171,813,811,114.14
  5. Step 5: Solve for x
    x = 171,813,811,114.14/402,834.20
  6. Step 6: Final answer
    x = 426,512.47

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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.