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Finding the Fourth Proportional to 430,667.55, 645,525.63 and 177,808.64

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Solution

The fourth proportional to 430,667.55, 645,525.63 and 177,808.64 is: 266,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,667.55 : 645,525.63 = 177,808.64 : x
  2. Step 2: Convert to fraction form
    430,667.55/645,525.63 = 177,808.64/x
  3. Step 3: Cross multiply
    430,667.55x = 645,525.63 × 177,808.64
  4. Step 4: Simplify right side
    430,667.55x = 114,780,031,127.82
  5. Step 5: Solve for x
    x = 114,780,031,127.82/430,667.55
  6. Step 6: Final answer
    x = 266,516.55

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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.