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Finding the Fourth Proportional to 415,563.26, 623,345.06 and 100,020.16

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Solution

The fourth proportional to 415,563.26, 623,345.06 and 100,020.16 is: 150,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,563.26 : 623,345.06 = 100,020.16 : x
  2. Step 2: Convert to fraction form
    415,563.26/623,345.06 = 100,020.16/x
  3. Step 3: Cross multiply
    415,563.26x = 623,345.06 × 100,020.16
  4. Step 4: Simplify right side
    415,563.26x = 62,347,072,136.31
  5. Step 5: Solve for x
    x = 62,347,072,136.31/415,563.26
  6. Step 6: Final answer
    x = 150,030.28

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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.