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Finding the Fourth Proportional to 379,302.16, 523,417.64 and 209,503.44

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Solution

The fourth proportional to 379,302.16, 523,417.64 and 209,503.44 is: 289,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,302.16 : 523,417.64 = 209,503.44 : x
  2. Step 2: Convert to fraction form
    379,302.16/523,417.64 = 209,503.44/x
  3. Step 3: Cross multiply
    379,302.16x = 523,417.64 × 209,503.44
  4. Step 4: Simplify right side
    379,302.16x = 109,657,796,136.68
  5. Step 5: Solve for x
    x = 109,657,796,136.68/379,302.16
  6. Step 6: Final answer
    x = 289,104.06

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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.