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Finding the Fourth Proportional to 448,072.80, 672,109.20 and 413,858.40

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Solution

The fourth proportional to 448,072.80, 672,109.20 and 413,858.40 is: 620,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,072.80 : 672,109.20 = 413,858.40 : x
  2. Step 2: Convert to fraction form
    448,072.80/672,109.20 = 413,858.40/x
  3. Step 3: Cross multiply
    448,072.80x = 672,109.20 × 413,858.40
  4. Step 4: Simplify right side
    448,072.80x = 278,158,038,137.28
  5. Step 5: Solve for x
    x = 278,158,038,137.28/448,072.80
  6. Step 6: Final answer
    x = 620,787.60

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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.