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Finding the Fourth Proportional to 455,954.40, 683,931.60 and 419,212.80

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Solution

The fourth proportional to 455,954.40, 683,931.60 and 419,212.80 is: 628,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,954.40 : 683,931.60 = 419,212.80 : x
  2. Step 2: Convert to fraction form
    455,954.40/683,931.60 = 419,212.80/x
  3. Step 3: Cross multiply
    455,954.40x = 683,931.60 × 419,212.80
  4. Step 4: Simplify right side
    455,954.40x = 286,712,881,044.48
  5. Step 5: Solve for x
    x = 286,712,881,044.48/455,954.40
  6. Step 6: Final answer
    x = 628,819.20

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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.