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Finding the Fourth Proportional to 476,521.21, 714,782.07 and 299,152.78

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Solution

The fourth proportional to 476,521.21, 714,782.07 and 299,152.78 is: 448,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,521.21 : 714,782.07 = 299,152.78 : x
  2. Step 2: Convert to fraction form
    476,521.21/714,782.07 = 299,152.78/x
  3. Step 3: Cross multiply
    476,521.21x = 714,782.07 × 299,152.78
  4. Step 4: Simplify right side
    476,521.21x = 213,829,043,334.66
  5. Step 5: Solve for x
    x = 213,829,043,334.66/476,521.21
  6. Step 6: Final answer
    x = 448,729.33

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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.