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Finding the Fourth Proportional to 328,537.80, 492,806.70 and 285,235.20

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Solution

The fourth proportional to 328,537.80, 492,806.70 and 285,235.20 is: 427,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,537.80 : 492,806.70 = 285,235.20 : x
  2. Step 2: Convert to fraction form
    328,537.80/492,806.70 = 285,235.20/x
  3. Step 3: Cross multiply
    328,537.80x = 492,806.70 × 285,235.20
  4. Step 4: Simplify right side
    328,537.80x = 140,565,817,635.84
  5. Step 5: Solve for x
    x = 140,565,817,635.84/328,537.80
  6. Step 6: Final answer
    x = 427,852.80

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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.