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Finding the Fourth Proportional to 772,852.78, 1,066,318.79 and 500,932.14

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Solution

The fourth proportional to 772,852.78, 1,066,318.79 and 500,932.14 is: 691,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,852.78 : 1,066,318.79 = 500,932.14 : x
  2. Step 2: Convert to fraction form
    772,852.78/1,066,318.79 = 500,932.14/x
  3. Step 3: Cross multiply
    772,852.78x = 1,066,318.79 × 500,932.14
  4. Step 4: Simplify right side
    772,852.78x = 534,153,353,396.91
  5. Step 5: Solve for x
    x = 534,153,353,396.91/772,852.78
  6. Step 6: Final answer
    x = 691,145.02

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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.