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Finding the Fourth Proportional to 554,611.32, 829,728.09 and 420,063.05

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Solution

The fourth proportional to 554,611.32, 829,728.09 and 420,063.05 is: 628,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,611.32 : 829,728.09 = 420,063.05 : x
  2. Step 2: Convert to fraction form
    554,611.32/829,728.09 = 420,063.05/x
  3. Step 3: Cross multiply
    554,611.32x = 829,728.09 × 420,063.05
  4. Step 4: Simplify right side
    554,611.32x = 348,538,114,835.73
  5. Step 5: Solve for x
    x = 348,538,114,835.73/554,611.32
  6. Step 6: Final answer
    x = 628,436.72

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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.