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Finding the Fourth Proportional to 402,033, 603,325.98 and 139,377

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Solution

The fourth proportional to 402,033, 603,325.98 and 139,377 is: 209,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,033 : 603,325.98 = 139,377 : x
  2. Step 2: Convert to fraction form
    402,033/603,325.98 = 139,377/x
  3. Step 3: Cross multiply
    402,033x = 603,325.98 × 139,377
  4. Step 4: Simplify right side
    402,033x = 84,089,765,114.46
  5. Step 5: Solve for x
    x = 84,089,765,114.46/402,033
  6. Step 6: Final answer
    x = 209,161.35

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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.