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Finding the Fourth Proportional to 702,707,341.95, 969,736,142.34 and 389,461,734.06

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Solution

The fourth proportional to 702,707,341.95, 969,736,142.34 and 389,461,734.06 is: 537,457,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,707,341.95 : 969,736,142.34 = 389,461,734.06 : x
  2. Step 2: Convert to fraction form
    702,707,341.95/969,736,142.34 = 389,461,734.06/x
  3. Step 3: Cross multiply
    702,707,341.95x = 969,736,142.34 × 389,461,734.06
  4. Step 4: Simplify right side
    702,707,341.95x = 377,675,119,576,391,424
  5. Step 5: Solve for x
    x = 377,675,119,576,391,424/702,707,341.95
  6. Step 6: Final answer
    x = 537,457,198.79

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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.