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Finding the Fourth Proportional to 320,916.80, 442,871.94 and 175,728.71

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Solution

The fourth proportional to 320,916.80, 442,871.94 and 175,728.71 is: 242,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,916.80 : 442,871.94 = 175,728.71 : x
  2. Step 2: Convert to fraction form
    320,916.80/442,871.94 = 175,728.71/x
  3. Step 3: Cross multiply
    320,916.80x = 442,871.94 × 175,728.71
  4. Step 4: Simplify right side
    320,916.80x = 77,825,312,497.04
  5. Step 5: Solve for x
    x = 77,825,312,497.04/320,916.80
  6. Step 6: Final answer
    x = 242,509.32

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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.