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Finding the Fourth Proportional to 282,693.16, 390,129.78 and 161,847.64

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Solution

The fourth proportional to 282,693.16, 390,129.78 and 161,847.64 is: 223,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,693.16 : 390,129.78 = 161,847.64 : x
  2. Step 2: Convert to fraction form
    282,693.16/390,129.78 = 161,847.64/x
  3. Step 3: Cross multiply
    282,693.16x = 390,129.78 × 161,847.64
  4. Step 4: Simplify right side
    282,693.16x = 63,141,584,186.72
  5. Step 5: Solve for x
    x = 63,141,584,186.72/282,693.16
  6. Step 6: Final answer
    x = 223,357.31

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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.