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Finding the Fourth Proportional to 379,041.60, 523,075.96 and 209,274.48

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Solution

The fourth proportional to 379,041.60, 523,075.96 and 209,274.48 is: 288,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,041.60 : 523,075.96 = 209,274.48 : x
  2. Step 2: Convert to fraction form
    379,041.60/523,075.96 = 209,274.48/x
  3. Step 3: Cross multiply
    379,041.60x = 523,075.96 × 209,274.48
  4. Step 4: Simplify right side
    379,041.60x = 109,466,449,529.50
  5. Step 5: Solve for x
    x = 109,466,449,529.50/379,041.60
  6. Step 6: Final answer
    x = 288,797.98

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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.