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Finding the Fourth Proportional to 312,123.69, 430,729.47 and 168,883.83

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Solution

The fourth proportional to 312,123.69, 430,729.47 and 168,883.83 is: 233,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,123.69 : 430,729.47 = 168,883.83 : x
  2. Step 2: Convert to fraction form
    312,123.69/430,729.47 = 168,883.83/x
  3. Step 3: Cross multiply
    312,123.69x = 430,729.47 × 168,883.83
  4. Step 4: Simplify right side
    312,123.69x = 72,743,242,587.47
  5. Step 5: Solve for x
    x = 72,743,242,587.47/312,123.69
  6. Step 6: Final answer
    x = 233,059.02

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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.