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Finding the Fourth Proportional to 313,420, 432,519.60 and 179,284

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Solution

The fourth proportional to 313,420, 432,519.60 and 179,284 is: 247,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,420 : 432,519.60 = 179,284 : x
  2. Step 2: Convert to fraction form
    313,420/432,519.60 = 179,284/x
  3. Step 3: Cross multiply
    313,420x = 432,519.60 × 179,284
  4. Step 4: Simplify right side
    313,420x = 77,543,843,966.40
  5. Step 5: Solve for x
    x = 77,543,843,966.40/313,420
  6. Step 6: Final answer
    x = 247,411.92

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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.