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Finding the Fourth Proportional to 634,907.96, 876,212.35 and 419,674.76

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Solution

The fourth proportional to 634,907.96, 876,212.35 and 419,674.76 is: 579,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,907.96 : 876,212.35 = 419,674.76 : x
  2. Step 2: Convert to fraction form
    634,907.96/876,212.35 = 419,674.76/x
  3. Step 3: Cross multiply
    634,907.96x = 876,212.35 × 419,674.76
  4. Step 4: Simplify right side
    634,907.96x = 367,724,202,265.04
  5. Step 5: Solve for x
    x = 367,724,202,265.04/634,907.96
  6. Step 6: Final answer
    x = 579,177.19

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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.