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Finding the Fourth Proportional to 340,809.12, 469,947.42 and 231,984

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Solution

The fourth proportional to 340,809.12, 469,947.42 and 231,984 is: 319,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809.12 : 469,947.42 = 231,984 : x
  2. Step 2: Convert to fraction form
    340,809.12/469,947.42 = 231,984/x
  3. Step 3: Cross multiply
    340,809.12x = 469,947.42 × 231,984
  4. Step 4: Simplify right side
    340,809.12x = 109,020,282,281.28
  5. Step 5: Solve for x
    x = 109,020,282,281.28/340,809.12
  6. Step 6: Final answer
    x = 319,886.63

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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.