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Finding the Fourth Proportional to 274,402.09, 411,070.47 and 202,223.98

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Solution

The fourth proportional to 274,402.09, 411,070.47 and 202,223.98 is: 302,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,402.09 : 411,070.47 = 202,223.98 : x
  2. Step 2: Convert to fraction form
    274,402.09/411,070.47 = 202,223.98/x
  3. Step 3: Cross multiply
    274,402.09x = 411,070.47 × 202,223.98
  4. Step 4: Simplify right side
    274,402.09x = 83,128,306,503.87
  5. Step 5: Solve for x
    x = 83,128,306,503.87/274,402.09
  6. Step 6: Final answer
    x = 302,943.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.