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Finding the Fourth Proportional to 385,800.80, 578,701.20 and 323,592.80

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Solution

The fourth proportional to 385,800.80, 578,701.20 and 323,592.80 is: 485,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,800.80 : 578,701.20 = 323,592.80 : x
  2. Step 2: Convert to fraction form
    385,800.80/578,701.20 = 323,592.80/x
  3. Step 3: Cross multiply
    385,800.80x = 578,701.20 × 323,592.80
  4. Step 4: Simplify right side
    385,800.80x = 187,263,541,671.36
  5. Step 5: Solve for x
    x = 187,263,541,671.36/385,800.80
  6. Step 6: Final answer
    x = 485,389.20

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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.