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Finding the Fourth Proportional to 357,132.51, 492,858.27 and 213,865.11

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Solution

The fourth proportional to 357,132.51, 492,858.27 and 213,865.11 is: 295,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,132.51 : 492,858.27 = 213,865.11 : x
  2. Step 2: Convert to fraction form
    357,132.51/492,858.27 = 213,865.11/x
  3. Step 3: Cross multiply
    357,132.51x = 492,858.27 × 213,865.11
  4. Step 4: Simplify right side
    357,132.51x = 105,405,188,127.96
  5. Step 5: Solve for x
    x = 105,405,188,127.96/357,132.51
  6. Step 6: Final answer
    x = 295,143.08

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1.5x scale

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.