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Finding the Fourth Proportional to 358,214.93, 494,407.27 and 205,355.77

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Solution

The fourth proportional to 358,214.93, 494,407.27 and 205,355.77 is: 283,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,214.93 : 494,407.27 = 205,355.77 : x
  2. Step 2: Convert to fraction form
    358,214.93/494,407.27 = 205,355.77/x
  3. Step 3: Cross multiply
    358,214.93x = 494,407.27 × 205,355.77
  4. Step 4: Simplify right side
    358,214.93x = 101,529,385,624.45
  5. Step 5: Solve for x
    x = 101,529,385,624.45/358,214.93
  6. Step 6: Final answer
    x = 283,431.47

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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.