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Finding the Fourth Proportional to 308,428.94, 461,363.60 and 289,533.26

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Solution

The fourth proportional to 308,428.94, 461,363.60 and 289,533.26 is: 433,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,428.94 : 461,363.60 = 289,533.26 : x
  2. Step 2: Convert to fraction form
    308,428.94/461,363.60 = 289,533.26/x
  3. Step 3: Cross multiply
    308,428.94x = 461,363.60 × 289,533.26
  4. Step 4: Simplify right side
    308,428.94x = 133,580,107,153.34
  5. Step 5: Solve for x
    x = 133,580,107,153.34/308,428.94
  6. Step 6: Final answer
    x = 433,098.49

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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.