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Finding the Fourth Proportional to 320,671.05, 442,519.10 and 175,476.17

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Solution

The fourth proportional to 320,671.05, 442,519.10 and 175,476.17 is: 242,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,671.05 : 442,519.10 = 175,476.17 : x
  2. Step 2: Convert to fraction form
    320,671.05/442,519.10 = 175,476.17/x
  3. Step 3: Cross multiply
    320,671.05x = 442,519.10 × 175,476.17
  4. Step 4: Simplify right side
    320,671.05x = 77,651,557,706.80
  5. Step 5: Solve for x
    x = 77,651,557,706.80/320,671.05
  6. Step 6: Final answer
    x = 242,153.31

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1.5x scale

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.