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Finding the Fourth Proportional to 485,795.94, 670,051.27 and 421,149.58

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Solution

The fourth proportional to 485,795.94, 670,051.27 and 421,149.58 is: 580,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,795.94 : 670,051.27 = 421,149.58 : x
  2. Step 2: Convert to fraction form
    485,795.94/670,051.27 = 421,149.58/x
  3. Step 3: Cross multiply
    485,795.94x = 670,051.27 × 421,149.58
  4. Step 4: Simplify right side
    485,795.94x = 282,191,810,938.97
  5. Step 5: Solve for x
    x = 282,191,810,938.97/485,795.94
  6. Step 6: Final answer
    x = 580,885.49

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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.