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Finding the Fourth Proportional to 318,942.36, 478,710 and 161,283.96

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Solution

The fourth proportional to 318,942.36, 478,710 and 161,283.96 is: 242,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,942.36 : 478,710 = 161,283.96 : x
  2. Step 2: Convert to fraction form
    318,942.36/478,710 = 161,283.96/x
  3. Step 3: Cross multiply
    318,942.36x = 478,710 × 161,283.96
  4. Step 4: Simplify right side
    318,942.36x = 77,208,244,491.60
  5. Step 5: Solve for x
    x = 77,208,244,491.60/318,942.36
  6. Step 6: Final answer
    x = 242,075.85

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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.