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Finding the Fourth Proportional to 682,970.33, 942,622.44 and 407,345.88

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Solution

The fourth proportional to 682,970.33, 942,622.44 and 407,345.88 is: 562,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,970.33 : 942,622.44 = 407,345.88 : x
  2. Step 2: Convert to fraction form
    682,970.33/942,622.44 = 407,345.88/x
  3. Step 3: Cross multiply
    682,970.33x = 942,622.44 × 407,345.88
  4. Step 4: Simplify right side
    682,970.33x = 383,973,363,954.63
  5. Step 5: Solve for x
    x = 383,973,363,954.63/682,970.33
  6. Step 6: Final answer
    x = 562,210.90

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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.