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Finding the Fourth Proportional to 409,643.20, 614,464.80 and 297,668.80

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Solution

The fourth proportional to 409,643.20, 614,464.80 and 297,668.80 is: 446,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,643.20 : 614,464.80 = 297,668.80 : x
  2. Step 2: Convert to fraction form
    409,643.20/614,464.80 = 297,668.80/x
  3. Step 3: Cross multiply
    409,643.20x = 614,464.80 × 297,668.80
  4. Step 4: Simplify right side
    409,643.20x = 182,906,999,658.24
  5. Step 5: Solve for x
    x = 182,906,999,658.24/409,643.20
  6. Step 6: Final answer
    x = 446,503.20

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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.