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Finding the Fourth Proportional to 291,814.86, 402,704.50 and 157,678.86

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Solution

The fourth proportional to 291,814.86, 402,704.50 and 157,678.86 is: 217,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,814.86 : 402,704.50 = 157,678.86 : x
  2. Step 2: Convert to fraction form
    291,814.86/402,704.50 = 157,678.86/x
  3. Step 3: Cross multiply
    291,814.86x = 402,704.50 × 157,678.86
  4. Step 4: Simplify right side
    291,814.86x = 63,497,986,082.67
  5. Step 5: Solve for x
    x = 63,497,986,082.67/291,814.86
  6. Step 6: Final answer
    x = 217,596.82

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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.