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Finding the Fourth Proportional to 307,375,978.70, 424,177,582.38 and 166,247,356.70

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Solution

The fourth proportional to 307,375,978.70, 424,177,582.38 and 166,247,356.70 is: 229,420,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,375,978.70 : 424,177,582.38 = 166,247,356.70 : x
  2. Step 2: Convert to fraction form
    307,375,978.70/424,177,582.38 = 166,247,356.70/x
  3. Step 3: Cross multiply
    307,375,978.70x = 424,177,582.38 × 166,247,356.70
  4. Step 4: Simplify right side
    307,375,978.70x = 70,518,401,842,071,488
  5. Step 5: Solve for x
    x = 70,518,401,842,071,488/307,375,978.70
  6. Step 6: Final answer
    x = 229,420,666.31

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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.