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Finding the Fourth Proportional to 610,769.46, 842,309.64 and 381,347.46

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Solution

The fourth proportional to 610,769.46, 842,309.64 and 381,347.46 is: 525,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,769.46 : 842,309.64 = 381,347.46 : x
  2. Step 2: Convert to fraction form
    610,769.46/842,309.64 = 381,347.46/x
  3. Step 3: Cross multiply
    610,769.46x = 842,309.64 × 381,347.46
  4. Step 4: Simplify right side
    610,769.46x = 321,212,641,747.51
  5. Step 5: Solve for x
    x = 321,212,641,747.51/610,769.46
  6. Step 6: Final answer
    x = 525,914.71

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1.5x scale

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.