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Finding the Fourth Proportional to 311,838.65, 430,337.96 and 168,598.69

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Solution

The fourth proportional to 311,838.65, 430,337.96 and 168,598.69 is: 232,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838.65 : 430,337.96 = 168,598.69 : x
  2. Step 2: Convert to fraction form
    311,838.65/430,337.96 = 168,598.69/x
  3. Step 3: Cross multiply
    311,838.65x = 430,337.96 × 168,598.69
  4. Step 4: Simplify right side
    311,838.65x = 72,554,419,000.86
  5. Step 5: Solve for x
    x = 72,554,419,000.86/311,838.65
  6. Step 6: Final answer
    x = 232,666.54

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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.