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Finding the Fourth Proportional to 308,685.15, 462,711.93 and 208,855.89

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Solution

The fourth proportional to 308,685.15, 462,711.93 and 208,855.89 is: 313,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,685.15 : 462,711.93 = 208,855.89 : x
  2. Step 2: Convert to fraction form
    308,685.15/462,711.93 = 208,855.89/x
  3. Step 3: Cross multiply
    308,685.15x = 462,711.93 × 208,855.89
  4. Step 4: Simplify right side
    308,685.15x = 96,640,111,953.77
  5. Step 5: Solve for x
    x = 96,640,111,953.77/308,685.15
  6. Step 6: Final answer
    x = 313,070.17

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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.