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Finding the Fourth Proportional to 312,013.65, 430,576.80 and 168,770.63

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Solution

The fourth proportional to 312,013.65, 430,576.80 and 168,770.63 is: 232,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,013.65 : 430,576.80 = 168,770.63 : x
  2. Step 2: Convert to fraction form
    312,013.65/430,576.80 = 168,770.63/x
  3. Step 3: Cross multiply
    312,013.65x = 430,576.80 × 168,770.63
  4. Step 4: Simplify right side
    312,013.65x = 72,668,715,646.50
  5. Step 5: Solve for x
    x = 72,668,715,646.50/312,013.65
  6. Step 6: Final answer
    x = 232,902.36

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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.