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Finding the Fourth Proportional to 328,384.56, 492,581.70 and 216,779.52

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Solution

The fourth proportional to 328,384.56, 492,581.70 and 216,779.52 is: 325,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,384.56 : 492,581.70 = 216,779.52 : x
  2. Step 2: Convert to fraction form
    328,384.56/492,581.70 = 216,779.52/x
  3. Step 3: Cross multiply
    328,384.56x = 492,581.70 × 216,779.52
  4. Step 4: Simplify right side
    328,384.56x = 106,781,624,486.78
  5. Step 5: Solve for x
    x = 106,781,624,486.78/328,384.56
  6. Step 6: Final answer
    x = 325,172.49

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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.