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Finding the Fourth Proportional to 776,709.70, 1,071,842.63 and 427,859.86

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Solution

The fourth proportional to 776,709.70, 1,071,842.63 and 427,859.86 is: 590,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,709.70 : 1,071,842.63 = 427,859.86 : x
  2. Step 2: Convert to fraction form
    776,709.70/1,071,842.63 = 427,859.86/x
  3. Step 3: Cross multiply
    776,709.70x = 1,071,842.63 × 427,859.86
  4. Step 4: Simplify right side
    776,709.70x = 458,598,435,474.53
  5. Step 5: Solve for x
    x = 458,598,435,474.53/776,709.70
  6. Step 6: Final answer
    x = 590,437.38

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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.