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Finding the Fourth Proportional to 430,657.25, 645,991.35 and 150,174.50

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Solution

The fourth proportional to 430,657.25, 645,991.35 and 150,174.50 is: 225,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,657.25 : 645,991.35 = 150,174.50 : x
  2. Step 2: Convert to fraction form
    430,657.25/645,991.35 = 150,174.50/x
  3. Step 3: Cross multiply
    430,657.25x = 645,991.35 × 150,174.50
  4. Step 4: Simplify right side
    430,657.25x = 97,011,427,239.70
  5. Step 5: Solve for x
    x = 97,011,427,239.70/430,657.25
  6. Step 6: Final answer
    x = 225,263.66

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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.