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Finding the Fourth Proportional to 255,790.20, 383,685.30 and 202,913.40

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Solution

The fourth proportional to 255,790.20, 383,685.30 and 202,913.40 is: 304,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,790.20 : 383,685.30 = 202,913.40 : x
  2. Step 2: Convert to fraction form
    255,790.20/383,685.30 = 202,913.40/x
  3. Step 3: Cross multiply
    255,790.20x = 383,685.30 × 202,913.40
  4. Step 4: Simplify right side
    255,790.20x = 77,854,888,753.02
  5. Step 5: Solve for x
    x = 77,854,888,753.02/255,790.20
  6. Step 6: Final answer
    x = 304,370.10

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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.