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Finding the Fourth Proportional to 340,904.40, 511,502.40 and 214,641.60

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Solution

The fourth proportional to 340,904.40, 511,502.40 and 214,641.60 is: 322,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,904.40 : 511,502.40 = 214,641.60 : x
  2. Step 2: Convert to fraction form
    340,904.40/511,502.40 = 214,641.60/x
  3. Step 3: Cross multiply
    340,904.40x = 511,502.40 × 214,641.60
  4. Step 4: Simplify right side
    340,904.40x = 109,789,693,539.84
  5. Step 5: Solve for x
    x = 109,789,693,539.84/340,904.40
  6. Step 6: Final answer
    x = 322,054.20

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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.