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Finding the Fourth Proportional to 1,283,978,372.28, 1,925,360,428.27 and 497,400,436.88

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Solution

The fourth proportional to 1,283,978,372.28, 1,925,360,428.27 and 497,400,436.88 is: 745,865,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,978,372.28 : 1,925,360,428.27 = 497,400,436.88 : x
  2. Step 2: Convert to fraction form
    1,283,978,372.28/1,925,360,428.27 = 497,400,436.88/x
  3. Step 3: Cross multiply
    1,283,978,372.28x = 1,925,360,428.27 × 497,400,436.88
  4. Step 4: Simplify right side
    1,283,978,372.28x = 957,675,118,172,961,920
  5. Step 5: Solve for x
    x = 957,675,118,172,961,920/1,283,978,372.28
  6. Step 6: Final answer
    x = 745,865,459.15

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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.