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Finding the Fourth Proportional to 423,767.70, 634,667.40 and 289,923.30

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Solution

The fourth proportional to 423,767.70, 634,667.40 and 289,923.30 is: 434,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,767.70 : 634,667.40 = 289,923.30 : x
  2. Step 2: Convert to fraction form
    423,767.70/634,667.40 = 289,923.30/x
  3. Step 3: Cross multiply
    423,767.70x = 634,667.40 × 289,923.30
  4. Step 4: Simplify right side
    423,767.70x = 184,004,867,010.42
  5. Step 5: Solve for x
    x = 184,004,867,010.42/423,767.70
  6. Step 6: Final answer
    x = 434,211.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.