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Finding the Fourth Proportional to 656,715.90, 984,308.40 and 301,765.80

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Solution

The fourth proportional to 656,715.90, 984,308.40 and 301,765.80 is: 452,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,715.90 : 984,308.40 = 301,765.80 : x
  2. Step 2: Convert to fraction form
    656,715.90/984,308.40 = 301,765.80/x
  3. Step 3: Cross multiply
    656,715.90x = 984,308.40 × 301,765.80
  4. Step 4: Simplify right side
    656,715.90x = 297,030,611,772.72
  5. Step 5: Solve for x
    x = 297,030,611,772.72/656,715.90
  6. Step 6: Final answer
    x = 452,296.97

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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.