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Finding the Fourth Proportional to 280,623.69, 421,077.69 and 122,853.51

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Solution

The fourth proportional to 280,623.69, 421,077.69 and 122,853.51 is: 184,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,623.69 : 421,077.69 = 122,853.51 : x
  2. Step 2: Convert to fraction form
    280,623.69/421,077.69 = 122,853.51/x
  3. Step 3: Cross multiply
    280,623.69x = 421,077.69 × 122,853.51
  4. Step 4: Simplify right side
    280,623.69x = 51,730,872,199.19
  5. Step 5: Solve for x
    x = 51,730,872,199.19/280,623.69
  6. Step 6: Final answer
    x = 184,342.50

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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.