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Finding the Fourth Proportional to 310,178.08, 428,092.86 and 189,389.80

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Solution

The fourth proportional to 310,178.08, 428,092.86 and 189,389.80 is: 261,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,178.08 : 428,092.86 = 189,389.80 : x
  2. Step 2: Convert to fraction form
    310,178.08/428,092.86 = 189,389.80/x
  3. Step 3: Cross multiply
    310,178.08x = 428,092.86 × 189,389.80
  4. Step 4: Simplify right side
    310,178.08x = 81,076,421,136.83
  5. Step 5: Solve for x
    x = 81,076,421,136.83/310,178.08
  6. Step 6: Final answer
    x = 261,386.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.