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Finding the Fourth Proportional to 470,461.23, 705,692.40 and 128,907.57

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Solution

The fourth proportional to 470,461.23, 705,692.40 and 128,907.57 is: 193,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,461.23 : 705,692.40 = 128,907.57 : x
  2. Step 2: Convert to fraction form
    470,461.23/705,692.40 = 128,907.57/x
  3. Step 3: Cross multiply
    470,461.23x = 705,692.40 × 128,907.57
  4. Step 4: Simplify right side
    470,461.23x = 90,969,092,451.47
  5. Step 5: Solve for x
    x = 90,969,092,451.47/470,461.23
  6. Step 6: Final answer
    x = 193,361.51

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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.