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Finding the Fourth Proportional to 455,979.90, 683,969.85 and 419,238.30

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Solution

The fourth proportional to 455,979.90, 683,969.85 and 419,238.30 is: 628,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,979.90 : 683,969.85 = 419,238.30 : x
  2. Step 2: Convert to fraction form
    455,979.90/683,969.85 = 419,238.30/x
  3. Step 3: Cross multiply
    455,979.90x = 683,969.85 × 419,238.30
  4. Step 4: Simplify right side
    455,979.90x = 286,746,357,165.26
  5. Step 5: Solve for x
    x = 286,746,357,165.26/455,979.90
  6. Step 6: Final answer
    x = 628,857.45

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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.