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Finding the Fourth Proportional to 634,907.21, 876,211.31 and 419,674.01

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Solution

The fourth proportional to 634,907.21, 876,211.31 and 419,674.01 is: 579,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,907.21 : 876,211.31 = 419,674.01 : x
  2. Step 2: Convert to fraction form
    634,907.21/876,211.31 = 419,674.01/x
  3. Step 3: Cross multiply
    634,907.21x = 876,211.31 × 419,674.01
  4. Step 4: Simplify right side
    634,907.21x = 367,723,110,743.18
  5. Step 5: Solve for x
    x = 367,723,110,743.18/634,907.21
  6. Step 6: Final answer
    x = 579,176.15

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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.