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Finding the Fourth Proportional to 366,660, 506,010.72 and 205,566.72

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Solution

The fourth proportional to 366,660, 506,010.72 and 205,566.72 is: 283,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,660 : 506,010.72 = 205,566.72 : x
  2. Step 2: Convert to fraction form
    366,660/506,010.72 = 205,566.72/x
  3. Step 3: Cross multiply
    366,660x = 506,010.72 × 205,566.72
  4. Step 4: Simplify right side
    366,660x = 104,018,963,995.24
  5. Step 5: Solve for x
    x = 104,018,963,995.24/366,660
  6. Step 6: Final answer
    x = 283,693.24

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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.