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Finding the Fourth Proportional to 357,145.63, 492,870.56 and 196,006.39

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Solution

The fourth proportional to 357,145.63, 492,870.56 and 196,006.39 is: 270,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,145.63 : 492,870.56 = 196,006.39 : x
  2. Step 2: Convert to fraction form
    357,145.63/492,870.56 = 196,006.39/x
  3. Step 3: Cross multiply
    357,145.63x = 492,870.56 × 196,006.39
  4. Step 4: Simplify right side
    357,145.63x = 96,605,776,990.67
  5. Step 5: Solve for x
    x = 96,605,776,990.67/357,145.63
  6. Step 6: Final answer
    x = 270,494.08

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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.