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Finding the Fourth Proportional to 430,401.96, 645,676.47 and 177,544.22

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Solution

The fourth proportional to 430,401.96, 645,676.47 and 177,544.22 is: 266,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,401.96 : 645,676.47 = 177,544.22 : x
  2. Step 2: Convert to fraction form
    430,401.96/645,676.47 = 177,544.22/x
  3. Step 3: Cross multiply
    430,401.96x = 645,676.47 × 177,544.22
  4. Step 4: Simplify right side
    430,401.96x = 114,636,125,238.50
  5. Step 5: Solve for x
    x = 114,636,125,238.50/430,401.96
  6. Step 6: Final answer
    x = 266,346.66

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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.