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Finding the Fourth Proportional to 1,283,978,425.86, 1,925,360,508.60 and 497,400,490.44

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Solution

The fourth proportional to 1,283,978,425.86, 1,925,360,508.60 and 497,400,490.44 is: 745,865,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,978,425.86 : 1,925,360,508.60 = 497,400,490.44 : x
  2. Step 2: Convert to fraction form
    1,283,978,425.86/1,925,360,508.60 = 497,400,490.44/x
  3. Step 3: Cross multiply
    1,283,978,425.86x = 1,925,360,508.60 × 497,400,490.44
  4. Step 4: Simplify right side
    1,283,978,425.86x = 957,675,261,251,447,808
  5. Step 5: Solve for x
    x = 957,675,261,251,447,808/1,283,978,425.86
  6. Step 6: Final answer
    x = 745,865,539.45

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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.