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Finding the Fourth Proportional to 650,991, 976,486.68 and 313,968.72

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Solution

The fourth proportional to 650,991, 976,486.68 and 313,968.72 is: 470,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,991 : 976,486.68 = 313,968.72 : x
  2. Step 2: Convert to fraction form
    650,991/976,486.68 = 313,968.72/x
  3. Step 3: Cross multiply
    650,991x = 976,486.68 × 313,968.72
  4. Step 4: Simplify right side
    650,991x = 306,586,273,016.65
  5. Step 5: Solve for x
    x = 306,586,273,016.65/650,991
  6. Step 6: Final answer
    x = 470,953.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.