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Finding the Fourth Proportional to 809,762.10, 1,214,643.15 and 683,790.90

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Solution

The fourth proportional to 809,762.10, 1,214,643.15 and 683,790.90 is: 1,025,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,762.10 : 1,214,643.15 = 683,790.90 : x
  2. Step 2: Convert to fraction form
    809,762.10/1,214,643.15 = 683,790.90/x
  3. Step 3: Cross multiply
    809,762.10x = 1,214,643.15 × 683,790.90
  4. Step 4: Simplify right side
    809,762.10x = 830,561,932,717.34
  5. Step 5: Solve for x
    x = 830,561,932,717.34/809,762.10
  6. Step 6: Final answer
    x = 1,025,686.35

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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.