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Finding the Fourth Proportional to 736,368.34, 1,102,781 and 419,865.70

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Solution

The fourth proportional to 736,368.34, 1,102,781 and 419,865.70 is: 628,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,368.34 : 1,102,781 = 419,865.70 : x
  2. Step 2: Convert to fraction form
    736,368.34/1,102,781 = 419,865.70/x
  3. Step 3: Cross multiply
    736,368.34x = 1,102,781 × 419,865.70
  4. Step 4: Simplify right side
    736,368.34x = 463,019,916,511.70
  5. Step 5: Solve for x
    x = 463,019,916,511.70/736,368.34
  6. Step 6: Final answer
    x = 628,788.46

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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.