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Finding the Fourth Proportional to 328,205.12, 492,307.44 and 78,887.12

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Solution

The fourth proportional to 328,205.12, 492,307.44 and 78,887.12 is: 118,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,205.12 : 492,307.44 = 78,887.12 : x
  2. Step 2: Convert to fraction form
    328,205.12/492,307.44 = 78,887.12/x
  3. Step 3: Cross multiply
    328,205.12x = 492,307.44 × 78,887.12
  4. Step 4: Simplify right side
    328,205.12x = 38,836,716,096.17
  5. Step 5: Solve for x
    x = 38,836,716,096.17/328,205.12
  6. Step 6: Final answer
    x = 118,330.62

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1.5x scale

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.