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Finding the Fourth Proportional to 434,322.59, 651,493.35 and 305,713.32

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Solution

The fourth proportional to 434,322.59, 651,493.35 and 305,713.32 is: 458,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,322.59 : 651,493.35 = 305,713.32 : x
  2. Step 2: Convert to fraction form
    434,322.59/651,493.35 = 305,713.32/x
  3. Step 3: Cross multiply
    434,322.59x = 651,493.35 × 305,713.32
  4. Step 4: Simplify right side
    434,322.59x = 199,170,194,986.42
  5. Step 5: Solve for x
    x = 199,170,194,986.42/434,322.59
  6. Step 6: Final answer
    x = 458,576.64

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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.