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Finding the Fourth Proportional to 352,897.16, 486,943.26 and 209,653.52

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Solution

The fourth proportional to 352,897.16, 486,943.26 and 209,653.52 is: 289,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,897.16 : 486,943.26 = 209,653.52 : x
  2. Step 2: Convert to fraction form
    352,897.16/486,943.26 = 209,653.52/x
  3. Step 3: Cross multiply
    352,897.16x = 486,943.26 × 209,653.52
  4. Step 4: Simplify right side
    352,897.16x = 102,089,368,499.28
  5. Step 5: Solve for x
    x = 102,089,368,499.28/352,897.16
  6. Step 6: Final answer
    x = 289,289.29

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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.