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Finding the Fourth Proportional to 205,205.10, 307,807.65 and 200,831.10

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Solution

The fourth proportional to 205,205.10, 307,807.65 and 200,831.10 is: 301,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,205.10 : 307,807.65 = 200,831.10 : x
  2. Step 2: Convert to fraction form
    205,205.10/307,807.65 = 200,831.10/x
  3. Step 3: Cross multiply
    205,205.10x = 307,807.65 × 200,831.10
  4. Step 4: Simplify right side
    205,205.10x = 61,817,348,937.92
  5. Step 5: Solve for x
    x = 61,817,348,937.92/205,205.10
  6. Step 6: Final answer
    x = 301,246.65

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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.