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Finding the Fourth Proportional to 316,980.93, 437,478.51 and 196,161.16

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Solution

The fourth proportional to 316,980.93, 437,478.51 and 196,161.16 is: 270,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980.93 : 437,478.51 = 196,161.16 : x
  2. Step 2: Convert to fraction form
    316,980.93/437,478.51 = 196,161.16/x
  3. Step 3: Cross multiply
    316,980.93x = 437,478.51 × 196,161.16
  4. Step 4: Simplify right side
    316,980.93x = 85,816,291,996.67
  5. Step 5: Solve for x
    x = 85,816,291,996.67/316,980.93
  6. Step 6: Final answer
    x = 270,730.14

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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.