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Finding the Fourth Proportional to 211,393.86, 291,495.69 and 160,499.94

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Solution

The fourth proportional to 211,393.86, 291,495.69 and 160,499.94 is: 221,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,393.86 : 291,495.69 = 160,499.94 : x
  2. Step 2: Convert to fraction form
    211,393.86/291,495.69 = 160,499.94/x
  3. Step 3: Cross multiply
    211,393.86x = 291,495.69 × 160,499.94
  4. Step 4: Simplify right side
    211,393.86x = 46,785,040,755.26
  5. Step 5: Solve for x
    x = 46,785,040,755.26/211,393.86
  6. Step 6: Final answer
    x = 221,316.93

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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.