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Finding the Fourth Proportional to 371,705.84, 512,952.72 and 201,938.48

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Solution

The fourth proportional to 371,705.84, 512,952.72 and 201,938.48 is: 278,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,705.84 : 512,952.72 = 201,938.48 : x
  2. Step 2: Convert to fraction form
    371,705.84/512,952.72 = 201,938.48/x
  3. Step 3: Cross multiply
    371,705.84x = 512,952.72 × 201,938.48
  4. Step 4: Simplify right side
    371,705.84x = 103,584,892,588.67
  5. Step 5: Solve for x
    x = 103,584,892,588.67/371,705.84
  6. Step 6: Final answer
    x = 278,674.37

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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.