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Finding the Fourth Proportional to 412,501.66, 569,247 and 231,213.28

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Solution

The fourth proportional to 412,501.66, 569,247 and 231,213.28 is: 319,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,501.66 : 569,247 = 231,213.28 : x
  2. Step 2: Convert to fraction form
    412,501.66/569,247 = 231,213.28/x
  3. Step 3: Cross multiply
    412,501.66x = 569,247 × 231,213.28
  4. Step 4: Simplify right side
    412,501.66x = 131,617,466,000.16
  5. Step 5: Solve for x
    x = 131,617,466,000.16/412,501.66
  6. Step 6: Final answer
    x = 319,071.36

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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.