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Finding the Fourth Proportional to 412,969.28, 569,940.64 and 231,730.08

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Solution

The fourth proportional to 412,969.28, 569,940.64 and 231,730.08 is: 319,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,969.28 : 569,940.64 = 231,730.08 : x
  2. Step 2: Convert to fraction form
    412,969.28/569,940.64 = 231,730.08/x
  3. Step 3: Cross multiply
    412,969.28x = 569,940.64 × 231,730.08
  4. Step 4: Simplify right side
    412,969.28x = 132,072,390,102.45
  5. Step 5: Solve for x
    x = 132,072,390,102.45/412,969.28
  6. Step 6: Final answer
    x = 319,811.66

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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.