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Finding the Fourth Proportional to 414,637.20, 621,178.20 and 386,643.60

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Solution

The fourth proportional to 414,637.20, 621,178.20 and 386,643.60 is: 579,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,637.20 : 621,178.20 = 386,643.60 : x
  2. Step 2: Convert to fraction form
    414,637.20/621,178.20 = 386,643.60/x
  3. Step 3: Cross multiply
    414,637.20x = 621,178.20 × 386,643.60
  4. Step 4: Simplify right side
    414,637.20x = 240,174,575,489.52
  5. Step 5: Solve for x
    x = 240,174,575,489.52/414,637.20
  6. Step 6: Final answer
    x = 579,240.30

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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.