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Finding the Fourth Proportional to 430,656.75, 645,990.59 and 150,174

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Solution

The fourth proportional to 430,656.75, 645,990.59 and 150,174 is: 225,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,656.75 : 645,990.59 = 150,174 : x
  2. Step 2: Convert to fraction form
    430,656.75/645,990.59 = 150,174/x
  3. Step 3: Cross multiply
    430,656.75x = 645,990.59 × 150,174
  4. Step 4: Simplify right side
    430,656.75x = 97,010,991,238.10
  5. Step 5: Solve for x
    x = 97,010,991,238.10/430,656.75
  6. Step 6: Final answer
    x = 225,262.91

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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.