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Finding the Fourth Proportional to 682,768.94, 942,389.79 and 414,721.58

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Solution

The fourth proportional to 682,768.94, 942,389.79 and 414,721.58 is: 572,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,768.94 : 942,389.79 = 414,721.58 : x
  2. Step 2: Convert to fraction form
    682,768.94/942,389.79 = 414,721.58/x
  3. Step 3: Cross multiply
    682,768.94x = 942,389.79 × 414,721.58
  4. Step 4: Simplify right side
    682,768.94x = 390,829,382,684.67
  5. Step 5: Solve for x
    x = 390,829,382,684.67/682,768.94
  6. Step 6: Final answer
    x = 572,418.22

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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.