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Finding the Fourth Proportional to 430,667.68, 645,525.76 and 177,808.80

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Solution

The fourth proportional to 430,667.68, 645,525.76 and 177,808.80 is: 266,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,667.68 : 645,525.76 = 177,808.80 : x
  2. Step 2: Convert to fraction form
    430,667.68/645,525.76 = 177,808.80/x
  3. Step 3: Cross multiply
    430,667.68x = 645,525.76 × 177,808.80
  4. Step 4: Simplify right side
    430,667.68x = 114,780,160,754.69
  5. Step 5: Solve for x
    x = 114,780,160,754.69/430,667.68
  6. Step 6: Final answer
    x = 266,516.77

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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.