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Finding the Fourth Proportional to 434,847.86, 599,994.22 and 420,512.08

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Solution

The fourth proportional to 434,847.86, 599,994.22 and 420,512.08 is: 580,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,847.86 : 599,994.22 = 420,512.08 : x
  2. Step 2: Convert to fraction form
    434,847.86/599,994.22 = 420,512.08/x
  3. Step 3: Cross multiply
    434,847.86x = 599,994.22 × 420,512.08
  4. Step 4: Simplify right side
    434,847.86x = 252,304,817,440.18
  5. Step 5: Solve for x
    x = 252,304,817,440.18/434,847.86
  6. Step 6: Final answer
    x = 580,214.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.