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Finding the Fourth Proportional to 415,420.82, 623,131.23 and 99,877.72

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Solution

The fourth proportional to 415,420.82, 623,131.23 and 99,877.72 is: 149,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,420.82 : 623,131.23 = 99,877.72 : x
  2. Step 2: Convert to fraction form
    415,420.82/623,131.23 = 99,877.72/x
  3. Step 3: Cross multiply
    415,420.82x = 623,131.23 × 99,877.72
  4. Step 4: Simplify right side
    415,420.82x = 62,236,926,013.81
  5. Step 5: Solve for x
    x = 62,236,926,013.81/415,420.82
  6. Step 6: Final answer
    x = 149,816.58

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1.5x scale

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.