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Finding the Fourth Proportional to 561,675.51, 842,346.81 and 162,319.86

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Solution

The fourth proportional to 561,675.51, 842,346.81 and 162,319.86 is: 243,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,675.51 : 842,346.81 = 162,319.86 : x
  2. Step 2: Convert to fraction form
    561,675.51/842,346.81 = 162,319.86/x
  3. Step 3: Cross multiply
    561,675.51x = 842,346.81 × 162,319.86
  4. Step 4: Simplify right side
    561,675.51x = 136,729,616,270.65
  5. Step 5: Solve for x
    x = 136,729,616,270.65/561,675.51
  6. Step 6: Final answer
    x = 243,431.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.