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Finding the Fourth Proportional to 686,093,988.52, 946,738,430.69 and 403,819,595.15

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Solution

The fourth proportional to 686,093,988.52, 946,738,430.69 and 403,819,595.15 is: 557,229,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,093,988.52 : 946,738,430.69 = 403,819,595.15 : x
  2. Step 2: Convert to fraction form
    686,093,988.52/946,738,430.69 = 403,819,595.15/x
  3. Step 3: Cross multiply
    686,093,988.52x = 946,738,430.69 × 403,819,595.15
  4. Step 4: Simplify right side
    686,093,988.52x = 382,311,529,790,457,984
  5. Step 5: Solve for x
    x = 382,311,529,790,457,984/686,093,988.52
  6. Step 6: Final answer
    x = 557,229,091.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.