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Finding the Fourth Proportional to 415,720.66, 623,646.32 and 135,172.30

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Solution

The fourth proportional to 415,720.66, 623,646.32 and 135,172.30 is: 202,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,720.66 : 623,646.32 = 135,172.30 : x
  2. Step 2: Convert to fraction form
    415,720.66/623,646.32 = 135,172.30/x
  3. Step 3: Cross multiply
    415,720.66x = 623,646.32 × 135,172.30
  4. Step 4: Simplify right side
    415,720.66x = 84,299,707,460.94
  5. Step 5: Solve for x
    x = 84,299,707,460.94/415,720.66
  6. Step 6: Final answer
    x = 202,779.69

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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.