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Finding the Fourth Proportional to 357,859.81, 493,852.67 and 196,721.65

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Solution

The fourth proportional to 357,859.81, 493,852.67 and 196,721.65 is: 271,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,859.81 : 493,852.67 = 196,721.65 : x
  2. Step 2: Convert to fraction form
    357,859.81/493,852.67 = 196,721.65/x
  3. Step 3: Cross multiply
    357,859.81x = 493,852.67 × 196,721.65
  4. Step 4: Simplify right side
    357,859.81x = 97,151,510,618.77
  5. Step 5: Solve for x
    x = 97,151,510,618.77/357,859.81
  6. Step 6: Final answer
    x = 271,479.25

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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.