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Finding the Fourth Proportional to 402,034, 603,327.48 and 139,378

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Solution

The fourth proportional to 402,034, 603,327.48 and 139,378 is: 209,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,034 : 603,327.48 = 139,378 : x
  2. Step 2: Convert to fraction form
    402,034/603,327.48 = 139,378/x
  3. Step 3: Cross multiply
    402,034x = 603,327.48 × 139,378
  4. Step 4: Simplify right side
    402,034x = 84,090,577,507.44
  5. Step 5: Solve for x
    x = 84,090,577,507.44/402,034
  6. Step 6: Final answer
    x = 209,162.85

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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.