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Finding the Fourth Proportional to 508,907.94, 766,936.02 and 458,370.30

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Solution

The fourth proportional to 508,907.94, 766,936.02 and 458,370.30 is: 690,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,907.94 : 766,936.02 = 458,370.30 : x
  2. Step 2: Convert to fraction form
    508,907.94/766,936.02 = 458,370.30/x
  3. Step 3: Cross multiply
    508,907.94x = 766,936.02 × 458,370.30
  4. Step 4: Simplify right side
    508,907.94x = 351,540,693,568.21
  5. Step 5: Solve for x
    x = 351,540,693,568.21/508,907.94
  6. Step 6: Final answer
    x = 690,774.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.