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Finding the Fourth Proportional to 320,485.56, 480,588.09 and 152,053.91

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Solution

The fourth proportional to 320,485.56, 480,588.09 and 152,053.91 is: 228,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,485.56 : 480,588.09 = 152,053.91 : x
  2. Step 2: Convert to fraction form
    320,485.56/480,588.09 = 152,053.91/x
  3. Step 3: Cross multiply
    320,485.56x = 480,588.09 × 152,053.91
  4. Step 4: Simplify right side
    320,485.56x = 73,075,297,012.99
  5. Step 5: Solve for x
    x = 73,075,297,012.99/320,485.56
  6. Step 6: Final answer
    x = 228,014.32

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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.