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Finding the Fourth Proportional to 455,965.40, 683,948.10 and 419,223.80

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Solution

The fourth proportional to 455,965.40, 683,948.10 and 419,223.80 is: 628,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,965.40 : 683,948.10 = 419,223.80 : x
  2. Step 2: Convert to fraction form
    455,965.40/683,948.10 = 419,223.80/x
  3. Step 3: Cross multiply
    455,965.40x = 683,948.10 × 419,223.80
  4. Step 4: Simplify right side
    455,965.40x = 286,727,321,484.78
  5. Step 5: Solve for x
    x = 286,727,321,484.78/455,965.40
  6. Step 6: Final answer
    x = 628,835.70

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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.