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Finding the Fourth Proportional to 487,042.76, 671,683.83 and 305,771.58

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Solution

The fourth proportional to 487,042.76, 671,683.83 and 305,771.58 is: 421,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,042.76 : 671,683.83 = 305,771.58 : x
  2. Step 2: Convert to fraction form
    487,042.76/671,683.83 = 305,771.58/x
  3. Step 3: Cross multiply
    487,042.76x = 671,683.83 × 305,771.58
  4. Step 4: Simplify right side
    487,042.76x = 205,381,824,812.91
  5. Step 5: Solve for x
    x = 205,381,824,812.91/487,042.76
  6. Step 6: Final answer
    x = 421,691.57

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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.