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Finding the Fourth Proportional to 415,370.50, 623,055.68 and 99,827.40

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Solution

The fourth proportional to 415,370.50, 623,055.68 and 99,827.40 is: 149,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,370.50 : 623,055.68 = 99,827.40 : x
  2. Step 2: Convert to fraction form
    415,370.50/623,055.68 = 99,827.40/x
  3. Step 3: Cross multiply
    415,370.50x = 623,055.68 × 99,827.40
  4. Step 4: Simplify right side
    415,370.50x = 62,198,028,589.63
  5. Step 5: Solve for x
    x = 62,198,028,589.63/415,370.50
  6. Step 6: Final answer
    x = 149,741.08

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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.