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Finding the Fourth Proportional to 614,223.40, 847,629.11 and 342,285.33

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Solution

The fourth proportional to 614,223.40, 847,629.11 and 342,285.33 is: 472,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,223.40 : 847,629.11 = 342,285.33 : x
  2. Step 2: Convert to fraction form
    614,223.40/847,629.11 = 342,285.33/x
  3. Step 3: Cross multiply
    614,223.40x = 847,629.11 × 342,285.33
  4. Step 4: Simplify right side
    614,223.40x = 290,131,009,633.96
  5. Step 5: Solve for x
    x = 290,131,009,633.96/614,223.40
  6. Step 6: Final answer
    x = 472,354.21

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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.