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Finding the Fourth Proportional to 319,592, 476,957.84 and 284,163.84

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Solution

The fourth proportional to 319,592, 476,957.84 and 284,163.84 is: 424,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,592 : 476,957.84 = 284,163.84 : x
  2. Step 2: Convert to fraction form
    319,592/476,957.84 = 284,163.84/x
  3. Step 3: Cross multiply
    319,592x = 476,957.84 × 284,163.84
  4. Step 4: Simplify right side
    319,592x = 135,534,171,332.51
  5. Step 5: Solve for x
    x = 135,534,171,332.51/319,592
  6. Step 6: Final answer
    x = 424,084.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.