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Finding the Fourth Proportional to 412,618.10, 569,412.50 and 231,330.08

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Solution

The fourth proportional to 412,618.10, 569,412.50 and 231,330.08 is: 319,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,618.10 : 569,412.50 = 231,330.08 : x
  2. Step 2: Convert to fraction form
    412,618.10/569,412.50 = 231,330.08/x
  3. Step 3: Cross multiply
    412,618.10x = 569,412.50 × 231,330.08
  4. Step 4: Simplify right side
    412,618.10x = 131,722,239,178
  5. Step 5: Solve for x
    x = 131,722,239,178/412,618.10
  6. Step 6: Final answer
    x = 319,235.24

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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.