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Finding the Fourth Proportional to 415,464.53, 623,196.59 and 99,921.34

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Solution

The fourth proportional to 415,464.53, 623,196.59 and 99,921.34 is: 149,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,464.53 : 623,196.59 = 99,921.34 : x
  2. Step 2: Convert to fraction form
    415,464.53/623,196.59 = 99,921.34/x
  3. Step 3: Cross multiply
    415,464.53x = 623,196.59 × 99,921.34
  4. Step 4: Simplify right side
    415,464.53x = 62,270,635,240.25
  5. Step 5: Solve for x
    x = 62,270,635,240.25/415,464.53
  6. Step 6: Final answer
    x = 149,881.95

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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.