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Finding the Fourth Proportional to 280,515,016.35, 420,772,524.53 and 280,515,016.35

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Solution

The fourth proportional to 280,515,016.35, 420,772,524.53 and 280,515,016.35 is: 420,772,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,515,016.35 : 420,772,524.53 = 280,515,016.35 : x
  2. Step 2: Convert to fraction form
    280,515,016.35/420,772,524.53 = 280,515,016.35/x
  3. Step 3: Cross multiply
    280,515,016.35x = 420,772,524.53 × 280,515,016.35
  4. Step 4: Simplify right side
    280,515,016.35x = 118,033,011,596,761,152
  5. Step 5: Solve for x
    x = 118,033,011,596,761,152/280,515,016.35
  6. Step 6: Final answer
    x = 420,772,524.53

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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.