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Finding the Fourth Proportional to 357,133.51, 492,859.65 and 213,866.11

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Solution

The fourth proportional to 357,133.51, 492,859.65 and 213,866.11 is: 295,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,133.51 : 492,859.65 = 213,866.11 : x
  2. Step 2: Convert to fraction form
    357,133.51/492,859.65 = 213,866.11/x
  3. Step 3: Cross multiply
    357,133.51x = 492,859.65 × 213,866.11
  4. Step 4: Simplify right side
    357,133.51x = 105,405,976,121.46
  5. Step 5: Solve for x
    x = 105,405,976,121.46/357,133.51
  6. Step 6: Final answer
    x = 295,144.46

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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.