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Finding the Fourth Proportional to 353,967.12, 488,509.92 and 216,138.47

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Solution

The fourth proportional to 353,967.12, 488,509.92 and 216,138.47 is: 298,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,967.12 : 488,509.92 = 216,138.47 : x
  2. Step 2: Convert to fraction form
    353,967.12/488,509.92 = 216,138.47/x
  3. Step 3: Cross multiply
    353,967.12x = 488,509.92 × 216,138.47
  4. Step 4: Simplify right side
    353,967.12x = 105,585,784,246.07
  5. Step 5: Solve for x
    x = 105,585,784,246.07/353,967.12
  6. Step 6: Final answer
    x = 298,292.63

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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.