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Finding the Fourth Proportional to 538,226.60, 743,555.77 and 434,706.32

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Solution

The fourth proportional to 538,226.60, 743,555.77 and 434,706.32 is: 600,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,226.60 : 743,555.77 = 434,706.32 : x
  2. Step 2: Convert to fraction form
    538,226.60/743,555.77 = 434,706.32/x
  3. Step 3: Cross multiply
    538,226.60x = 743,555.77 × 434,706.32
  4. Step 4: Simplify right side
    538,226.60x = 323,228,393,263.59
  5. Step 5: Solve for x
    x = 323,228,393,263.59/538,226.60
  6. Step 6: Final answer
    x = 600,543.33

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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.