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Finding the Fourth Proportional to 328,045.60, 492,068.40 and 321,824.80

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Solution

The fourth proportional to 328,045.60, 492,068.40 and 321,824.80 is: 482,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,045.60 : 492,068.40 = 321,824.80 : x
  2. Step 2: Convert to fraction form
    328,045.60/492,068.40 = 321,824.80/x
  3. Step 3: Cross multiply
    328,045.60x = 492,068.40 × 321,824.80
  4. Step 4: Simplify right side
    328,045.60x = 158,359,814,416.32
  5. Step 5: Solve for x
    x = 158,359,814,416.32/328,045.60
  6. Step 6: Final answer
    x = 482,737.20

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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.