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Finding the Fourth Proportional to 307,897,271, 424,894,849.02 and 166,764,980.54

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Solution

The fourth proportional to 307,897,271, 424,894,849.02 and 166,764,980.54 is: 230,133,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,897,271 : 424,894,849.02 = 166,764,980.54 : x
  2. Step 2: Convert to fraction form
    307,897,271/424,894,849.02 = 166,764,980.54/x
  3. Step 3: Cross multiply
    307,897,271x = 424,894,849.02 × 166,764,980.54
  4. Step 4: Simplify right side
    307,897,271x = 70,857,581,228,366,528
  5. Step 5: Solve for x
    x = 70,857,581,228,366,528/307,897,271
  6. Step 6: Final answer
    x = 230,133,839.76

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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.