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Finding the Fourth Proportional to 328,509.74, 492,075.35 and 208,504.96

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Solution

The fourth proportional to 328,509.74, 492,075.35 and 208,504.96 is: 312,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,509.74 : 492,075.35 = 208,504.96 : x
  2. Step 2: Convert to fraction form
    328,509.74/492,075.35 = 208,504.96/x
  3. Step 3: Cross multiply
    328,509.74x = 492,075.35 × 208,504.96
  4. Step 4: Simplify right side
    328,509.74x = 102,600,147,665.83
  5. Step 5: Solve for x
    x = 102,600,147,665.83/328,509.74
  6. Step 6: Final answer
    x = 312,319.96

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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.