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Finding the Fourth Proportional to 328,314, 492,535.80 and 103,709.10

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Solution

The fourth proportional to 328,314, 492,535.80 and 103,709.10 is: 155,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,314 : 492,535.80 = 103,709.10 : x
  2. Step 2: Convert to fraction form
    328,314/492,535.80 = 103,709.10/x
  3. Step 3: Cross multiply
    328,314x = 492,535.80 × 103,709.10
  4. Step 4: Simplify right side
    328,314x = 51,080,444,535.78
  5. Step 5: Solve for x
    x = 51,080,444,535.78/328,314
  6. Step 6: Final answer
    x = 155,584.12

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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.