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Finding the Fourth Proportional to 328,267.84, 492,393.12 and 103,619.20

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Solution

The fourth proportional to 328,267.84, 492,393.12 and 103,619.20 is: 155,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,267.84 : 492,393.12 = 103,619.20 : x
  2. Step 2: Convert to fraction form
    328,267.84/492,393.12 = 103,619.20/x
  3. Step 3: Cross multiply
    328,267.84x = 492,393.12 × 103,619.20
  4. Step 4: Simplify right side
    328,267.84x = 51,021,381,179.90
  5. Step 5: Solve for x
    x = 51,021,381,179.90/328,267.84
  6. Step 6: Final answer
    x = 155,426.07

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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.