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Finding the Fourth Proportional to 282,695.75, 390,109.42 and 161,848.27

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Solution

The fourth proportional to 282,695.75, 390,109.42 and 161,848.27 is: 223,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,695.75 : 390,109.42 = 161,848.27 : x
  2. Step 2: Convert to fraction form
    282,695.75/390,109.42 = 161,848.27/x
  3. Step 3: Cross multiply
    282,695.75x = 390,109.42 × 161,848.27
  4. Step 4: Simplify right side
    282,695.75x = 63,138,533,357.81
  5. Step 5: Solve for x
    x = 63,138,533,357.81/282,695.75
  6. Step 6: Final answer
    x = 223,344.48

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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.