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Finding the Fourth Proportional to 208,280.43, 312,210.30 and 82,009.30

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Solution

The fourth proportional to 208,280.43, 312,210.30 and 82,009.30 is: 122,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,280.43 : 312,210.30 = 82,009.30 : x
  2. Step 2: Convert to fraction form
    208,280.43/312,210.30 = 82,009.30/x
  3. Step 3: Cross multiply
    208,280.43x = 312,210.30 × 82,009.30
  4. Step 4: Simplify right side
    208,280.43x = 25,604,148,155.79
  5. Step 5: Solve for x
    x = 25,604,148,155.79/208,280.43
  6. Step 6: Final answer
    x = 122,931.13

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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.