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Finding the Fourth Proportional to 455,908.40, 683,862.60 and 429,664.40

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Solution

The fourth proportional to 455,908.40, 683,862.60 and 429,664.40 is: 644,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,908.40 : 683,862.60 = 429,664.40 : x
  2. Step 2: Convert to fraction form
    455,908.40/683,862.60 = 429,664.40/x
  3. Step 3: Cross multiply
    455,908.40x = 683,862.60 × 429,664.40
  4. Step 4: Simplify right side
    455,908.40x = 293,831,413,711.44
  5. Step 5: Solve for x
    x = 293,831,413,711.44/455,908.40
  6. Step 6: Final answer
    x = 644,496.60

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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.