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Finding the Fourth Proportional to 429,859.40, 645,477.60 and 341,844.80

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Solution

The fourth proportional to 429,859.40, 645,477.60 and 341,844.80 is: 513,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,859.40 : 645,477.60 = 341,844.80 : x
  2. Step 2: Convert to fraction form
    429,859.40/645,477.60 = 341,844.80/x
  3. Step 3: Cross multiply
    429,859.40x = 645,477.60 × 341,844.80
  4. Step 4: Simplify right side
    429,859.40x = 220,653,161,076.48
  5. Step 5: Solve for x
    x = 220,653,161,076.48/429,859.40
  6. Step 6: Final answer
    x = 513,314.73

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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.