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Finding the Fourth Proportional to 463,005.47, 638,667.81 and 305,842.35

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Solution

The fourth proportional to 463,005.47, 638,667.81 and 305,842.35 is: 421,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,005.47 : 638,667.81 = 305,842.35 : x
  2. Step 2: Convert to fraction form
    463,005.47/638,667.81 = 305,842.35/x
  3. Step 3: Cross multiply
    463,005.47x = 638,667.81 × 305,842.35
  4. Step 4: Simplify right side
    463,005.47x = 195,331,663,879.75
  5. Step 5: Solve for x
    x = 195,331,663,879.75/463,005.47
  6. Step 6: Final answer
    x = 421,877.66

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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.