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Finding the Fourth Proportional to 377,506.95, 521,291.82 and 256,936.26

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Solution

The fourth proportional to 377,506.95, 521,291.82 and 256,936.26 is: 354,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,506.95 : 521,291.82 = 256,936.26 : x
  2. Step 2: Convert to fraction form
    377,506.95/521,291.82 = 256,936.26/x
  3. Step 3: Cross multiply
    377,506.95x = 521,291.82 × 256,936.26
  4. Step 4: Simplify right side
    377,506.95x = 133,938,770,599.39
  5. Step 5: Solve for x
    x = 133,938,770,599.39/377,506.95
  6. Step 6: Final answer
    x = 354,798.16

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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.