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Finding the Fourth Proportional to 308,426.94, 461,360.61 and 289,531.26

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Solution

The fourth proportional to 308,426.94, 461,360.61 and 289,531.26 is: 433,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,426.94 : 461,360.61 = 289,531.26 : x
  2. Step 2: Convert to fraction form
    308,426.94/461,360.61 = 289,531.26/x
  3. Step 3: Cross multiply
    308,426.94x = 461,360.61 × 289,531.26
  4. Step 4: Simplify right side
    308,426.94x = 133,578,318,727.67
  5. Step 5: Solve for x
    x = 133,578,318,727.67/308,426.94
  6. Step 6: Final answer
    x = 433,095.50

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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.