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Finding the Fourth Proportional to 682,386.40, 1,022,024.40 and 402,450.40

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Solution

The fourth proportional to 682,386.40, 1,022,024.40 and 402,450.40 is: 602,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,386.40 : 1,022,024.40 = 402,450.40 : x
  2. Step 2: Convert to fraction form
    682,386.40/1,022,024.40 = 402,450.40/x
  3. Step 3: Cross multiply
    682,386.40x = 1,022,024.40 × 402,450.40
  4. Step 4: Simplify right side
    682,386.40x = 411,314,128,589.76
  5. Step 5: Solve for x
    x = 411,314,128,589.76/682,386.40
  6. Step 6: Final answer
    x = 602,758.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.