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Finding the Fourth Proportional to 699,641.28, 965,416.32 and 397,841.76

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Solution

The fourth proportional to 699,641.28, 965,416.32 and 397,841.76 is: 548,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,641.28 : 965,416.32 = 397,841.76 : x
  2. Step 2: Convert to fraction form
    699,641.28/965,416.32 = 397,841.76/x
  3. Step 3: Cross multiply
    699,641.28x = 965,416.32 × 397,841.76
  4. Step 4: Simplify right side
    699,641.28x = 384,082,927,881.52
  5. Step 5: Solve for x
    x = 384,082,927,881.52/699,641.28
  6. Step 6: Final answer
    x = 548,971.22

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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.