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Finding the Fourth Proportional to 357,159.81, 492,879.11 and 196,017.51

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Solution

The fourth proportional to 357,159.81, 492,879.11 and 196,017.51 is: 270,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,159.81 : 492,879.11 = 196,017.51 : x
  2. Step 2: Convert to fraction form
    357,159.81/492,879.11 = 196,017.51/x
  3. Step 3: Cross multiply
    357,159.81x = 492,879.11 × 196,017.51
  4. Step 4: Simplify right side
    357,159.81x = 96,612,934,893.13
  5. Step 5: Solve for x
    x = 96,612,934,893.13/357,159.81
  6. Step 6: Final answer
    x = 270,503.38

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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.