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Finding the Fourth Proportional to 653,490,896.80, 980,525,813.96 and 342,524,610.12

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Solution

The fourth proportional to 653,490,896.80, 980,525,813.96 and 342,524,610.12 is: 513,938,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,490,896.80 : 980,525,813.96 = 342,524,610.12 : x
  2. Step 2: Convert to fraction form
    653,490,896.80/980,525,813.96 = 342,524,610.12/x
  3. Step 3: Cross multiply
    653,490,896.80x = 980,525,813.96 × 342,524,610.12
  4. Step 4: Simplify right side
    653,490,896.80x = 335,854,222,139,244,672
  5. Step 5: Solve for x
    x = 335,854,222,139,244,672/653,490,896.80
  6. Step 6: Final answer
    x = 513,938,639.06

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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.