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Finding the Fourth Proportional to 320,963.82, 442,920.06 and 175,763.22

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Solution

The fourth proportional to 320,963.82, 442,920.06 and 175,763.22 is: 242,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,963.82 : 442,920.06 = 175,763.22 : x
  2. Step 2: Convert to fraction form
    320,963.82/442,920.06 = 175,763.22/x
  3. Step 3: Cross multiply
    320,963.82x = 442,920.06 × 175,763.22
  4. Step 4: Simplify right side
    320,963.82x = 77,849,055,948.19
  5. Step 5: Solve for x
    x = 77,849,055,948.19/320,963.82
  6. Step 6: Final answer
    x = 242,547.76

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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.