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Finding the Fourth Proportional to 389,880.42, 584,841.29 and 109,419.54

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Solution

The fourth proportional to 389,880.42, 584,841.29 and 109,419.54 is: 164,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880.42 : 584,841.29 = 109,419.54 : x
  2. Step 2: Convert to fraction form
    389,880.42/584,841.29 = 109,419.54/x
  3. Step 3: Cross multiply
    389,880.42x = 584,841.29 × 109,419.54
  4. Step 4: Simplify right side
    389,880.42x = 63,993,064,377.71
  5. Step 5: Solve for x
    x = 63,993,064,377.71/389,880.42
  6. Step 6: Final answer
    x = 164,135.11

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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.