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Finding the Fourth Proportional to 277,448.72, 415,923.26 and 99,830.81

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Solution

The fourth proportional to 277,448.72, 415,923.26 and 99,830.81 is: 149,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,448.72 : 415,923.26 = 99,830.81 : x
  2. Step 2: Convert to fraction form
    277,448.72/415,923.26 = 99,830.81/x
  3. Step 3: Cross multiply
    277,448.72x = 415,923.26 × 99,830.81
  4. Step 4: Simplify right side
    277,448.72x = 41,521,956,484.29
  5. Step 5: Solve for x
    x = 41,521,956,484.29/277,448.72
  6. Step 6: Final answer
    x = 149,656.33

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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.