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Finding the Fourth Proportional to 434,272.32, 651,194.64 and 206,504.64

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Solution

The fourth proportional to 434,272.32, 651,194.64 and 206,504.64 is: 309,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,272.32 : 651,194.64 = 206,504.64 : x
  2. Step 2: Convert to fraction form
    434,272.32/651,194.64 = 206,504.64/x
  3. Step 3: Cross multiply
    434,272.32x = 651,194.64 × 206,504.64
  4. Step 4: Simplify right side
    434,272.32x = 134,474,714,703.13
  5. Step 5: Solve for x
    x = 134,474,714,703.13/434,272.32
  6. Step 6: Final answer
    x = 309,655.28

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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.