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Finding the Fourth Proportional to 560,956.64, 774,120.09 and 306,308.06

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Solution

The fourth proportional to 560,956.64, 774,120.09 and 306,308.06 is: 422,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,956.64 : 774,120.09 = 306,308.06 : x
  2. Step 2: Convert to fraction form
    560,956.64/774,120.09 = 306,308.06/x
  3. Step 3: Cross multiply
    560,956.64x = 774,120.09 × 306,308.06
  4. Step 4: Simplify right side
    560,956.64x = 237,119,222,974.93
  5. Step 5: Solve for x
    x = 237,119,222,974.93/560,956.64
  6. Step 6: Final answer
    x = 422,705.08

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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.