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Finding the Fourth Proportional to 415,718.65, 623,643.32 and 135,170.29

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Solution

The fourth proportional to 415,718.65, 623,643.32 and 135,170.29 is: 202,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,718.65 : 623,643.32 = 135,170.29 : x
  2. Step 2: Convert to fraction form
    415,718.65/623,643.32 = 135,170.29/x
  3. Step 3: Cross multiply
    415,718.65x = 623,643.32 × 135,170.29
  4. Step 4: Simplify right side
    415,718.65x = 84,298,048,420.96
  5. Step 5: Solve for x
    x = 84,298,048,420.96/415,718.65
  6. Step 6: Final answer
    x = 202,776.68

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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.