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Finding the Fourth Proportional to 340,485.66, 469,835.44 and 209,642.53

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Solution

The fourth proportional to 340,485.66, 469,835.44 and 209,642.53 is: 289,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,485.66 : 469,835.44 = 209,642.53 : x
  2. Step 2: Convert to fraction form
    340,485.66/469,835.44 = 209,642.53/x
  3. Step 3: Cross multiply
    340,485.66x = 469,835.44 × 209,642.53
  4. Step 4: Simplify right side
    340,485.66x = 98,497,489,277.05
  5. Step 5: Solve for x
    x = 98,497,489,277.05/340,485.66
  6. Step 6: Final answer
    x = 289,285.28

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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.