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Finding the Fourth Proportional to 320,653.69, 442,495.27 and 175,458.88

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Solution

The fourth proportional to 320,653.69, 442,495.27 and 175,458.88 is: 242,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,653.69 : 442,495.27 = 175,458.88 : x
  2. Step 2: Convert to fraction form
    320,653.69/442,495.27 = 175,458.88/x
  3. Step 3: Cross multiply
    320,653.69x = 442,495.27 × 175,458.88
  4. Step 4: Simplify right side
    320,653.69x = 77,639,722,022.69
  5. Step 5: Solve for x
    x = 77,639,722,022.69/320,653.69
  6. Step 6: Final answer
    x = 242,129.51

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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.