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Finding the Fourth Proportional to 399,075.84, 550,818.92 and 229,408.40

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Solution

The fourth proportional to 399,075.84, 550,818.92 and 229,408.40 is: 316,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,075.84 : 550,818.92 = 229,408.40 : x
  2. Step 2: Convert to fraction form
    399,075.84/550,818.92 = 229,408.40/x
  3. Step 3: Cross multiply
    399,075.84x = 550,818.92 × 229,408.40
  4. Step 4: Simplify right side
    399,075.84x = 126,362,487,126.93
  5. Step 5: Solve for x
    x = 126,362,487,126.93/399,075.84
  6. Step 6: Final answer
    x = 316,637.78

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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.