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Finding the Fourth Proportional to 412,871.60, 569,769 and 231,623.60

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Solution

The fourth proportional to 412,871.60, 569,769 and 231,623.60 is: 319,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,871.60 : 569,769 = 231,623.60 : x
  2. Step 2: Convert to fraction form
    412,871.60/569,769 = 231,623.60/x
  3. Step 3: Cross multiply
    412,871.60x = 569,769 × 231,623.60
  4. Step 4: Simplify right side
    412,871.60x = 131,971,946,948.40
  5. Step 5: Solve for x
    x = 131,971,946,948.40/412,871.60
  6. Step 6: Final answer
    x = 319,644.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.