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Finding the Fourth Proportional to 319,085.94, 440,347.83 and 175,855.21

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Solution

The fourth proportional to 319,085.94, 440,347.83 and 175,855.21 is: 242,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,085.94 : 440,347.83 = 175,855.21 : x
  2. Step 2: Convert to fraction form
    319,085.94/440,347.83 = 175,855.21/x
  3. Step 3: Cross multiply
    319,085.94x = 440,347.83 × 175,855.21
  4. Step 4: Simplify right side
    319,085.94x = 77,437,460,916.09
  5. Step 5: Solve for x
    x = 77,437,460,916.09/319,085.94
  6. Step 6: Final answer
    x = 242,685.28

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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.