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Finding the Fourth Proportional to 415,920.60, 623,880.90 and 166,781.40

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Solution

The fourth proportional to 415,920.60, 623,880.90 and 166,781.40 is: 250,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,920.60 : 623,880.90 = 166,781.40 : x
  2. Step 2: Convert to fraction form
    415,920.60/623,880.90 = 166,781.40/x
  3. Step 3: Cross multiply
    415,920.60x = 623,880.90 × 166,781.40
  4. Step 4: Simplify right side
    415,920.60x = 104,051,729,935.26
  5. Step 5: Solve for x
    x = 104,051,729,935.26/415,920.60
  6. Step 6: Final answer
    x = 250,172.10

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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.