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Finding the Fourth Proportional to 1,315,504,810.86, 1,972,611,514.26 and 650,750,778.96

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Solution

The fourth proportional to 1,315,504,810.86, 1,972,611,514.26 and 650,750,778.96 is: 975,806,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,504,810.86 : 1,972,611,514.26 = 650,750,778.96 : x
  2. Step 2: Convert to fraction form
    1,315,504,810.86/1,972,611,514.26 = 650,750,778.96/x
  3. Step 3: Cross multiply
    1,315,504,810.86x = 1,972,611,514.26 × 650,750,778.96
  4. Step 4: Simplify right side
    1,315,504,810.86x = 1,283,678,479,490,160,128
  5. Step 5: Solve for x
    x = 1,283,678,479,490,160,128/1,315,504,810.86
  6. Step 6: Final answer
    x = 975,806,754.10

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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.