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Finding the Fourth Proportional to 259,865.03, 358,957.91 and 209,069.12

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Solution

The fourth proportional to 259,865.03, 358,957.91 and 209,069.12 is: 288,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865.03 : 358,957.91 = 209,069.12 : x
  2. Step 2: Convert to fraction form
    259,865.03/358,957.91 = 209,069.12/x
  3. Step 3: Cross multiply
    259,865.03x = 358,957.91 × 209,069.12
  4. Step 4: Simplify right side
    259,865.03x = 75,047,014,360.74
  5. Step 5: Solve for x
    x = 75,047,014,360.74/259,865.03
  6. Step 6: Final answer
    x = 288,792.28

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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.