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Finding the Fourth Proportional to 509,692.32, 703,393.44 and 280,267.02

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Solution

The fourth proportional to 509,692.32, 703,393.44 and 280,267.02 is: 386,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,692.32 : 703,393.44 = 280,267.02 : x
  2. Step 2: Convert to fraction form
    509,692.32/703,393.44 = 280,267.02/x
  3. Step 3: Cross multiply
    509,692.32x = 703,393.44 × 280,267.02
  4. Step 4: Simplify right side
    509,692.32x = 197,137,983,316.35
  5. Step 5: Solve for x
    x = 197,137,983,316.35/509,692.32
  6. Step 6: Final answer
    x = 386,778.41

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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.