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Finding the Fourth Proportional to 487,970.66, 731,448.52 and 188,656.82

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Solution

The fourth proportional to 487,970.66, 731,448.52 and 188,656.82 is: 282,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,970.66 : 731,448.52 = 188,656.82 : x
  2. Step 2: Convert to fraction form
    487,970.66/731,448.52 = 188,656.82/x
  3. Step 3: Cross multiply
    487,970.66x = 731,448.52 × 188,656.82
  4. Step 4: Simplify right side
    487,970.66x = 137,992,751,776.91
  5. Step 5: Solve for x
    x = 137,992,751,776.91/487,970.66
  6. Step 6: Final answer
    x = 282,789.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.