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Finding the Fourth Proportional to 414,970.40, 621,937.20 and 304,032.80

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Solution

The fourth proportional to 414,970.40, 621,937.20 and 304,032.80 is: 455,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,970.40 : 621,937.20 = 304,032.80 : x
  2. Step 2: Convert to fraction form
    414,970.40/621,937.20 = 304,032.80/x
  3. Step 3: Cross multiply
    414,970.40x = 621,937.20 × 304,032.80
  4. Step 4: Simplify right side
    414,970.40x = 189,089,308,340.16
  5. Step 5: Solve for x
    x = 189,089,308,340.16/414,970.40
  6. Step 6: Final answer
    x = 455,669.39

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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.