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Finding the Fourth Proportional to 777,915, 1,073,523.66 and 420,219

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Solution

The fourth proportional to 777,915, 1,073,523.66 and 420,219 is: 579,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,915 : 1,073,523.66 = 420,219 : x
  2. Step 2: Convert to fraction form
    777,915/1,073,523.66 = 420,219/x
  3. Step 3: Cross multiply
    777,915x = 1,073,523.66 × 420,219
  4. Step 4: Simplify right side
    777,915x = 451,115,038,881.54
  5. Step 5: Solve for x
    x = 451,115,038,881.54/777,915
  6. Step 6: Final answer
    x = 579,902.74

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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.