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Finding the Fourth Proportional to 611,164.32, 843,390.66 and 339,231.48

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Solution

The fourth proportional to 611,164.32, 843,390.66 and 339,231.48 is: 468,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,164.32 : 843,390.66 = 339,231.48 : x
  2. Step 2: Convert to fraction form
    611,164.32/843,390.66 = 339,231.48/x
  3. Step 3: Cross multiply
    611,164.32x = 843,390.66 × 339,231.48
  4. Step 4: Simplify right side
    611,164.32x = 286,104,661,809.98
  5. Step 5: Solve for x
    x = 286,104,661,809.98/611,164.32
  6. Step 6: Final answer
    x = 468,130.51

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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.