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Finding the Fourth Proportional to 354,171.18, 488,742 and 193,022.77

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Solution

The fourth proportional to 354,171.18, 488,742 and 193,022.77 is: 266,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,171.18 : 488,742 = 193,022.77 : x
  2. Step 2: Convert to fraction form
    354,171.18/488,742 = 193,022.77/x
  3. Step 3: Cross multiply
    354,171.18x = 488,742 × 193,022.77
  4. Step 4: Simplify right side
    354,171.18x = 94,338,334,655.34
  5. Step 5: Solve for x
    x = 94,338,334,655.34/354,171.18
  6. Step 6: Final answer
    x = 266,363.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.