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Finding the Fourth Proportional to 602,431,470.40, 903,647,205.60 and 418,765,460.80

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Solution

The fourth proportional to 602,431,470.40, 903,647,205.60 and 418,765,460.80 is: 628,148,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,431,470.40 : 903,647,205.60 = 418,765,460.80 : x
  2. Step 2: Convert to fraction form
    602,431,470.40/903,647,205.60 = 418,765,460.80/x
  3. Step 3: Cross multiply
    602,431,470.40x = 903,647,205.60 × 418,765,460.80
  4. Step 4: Simplify right side
    602,431,470.40x = 378,416,238,453,716,352
  5. Step 5: Solve for x
    x = 378,416,238,453,716,352/602,431,470.40
  6. Step 6: Final answer
    x = 628,148,191.20

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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.