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Finding the Fourth Proportional to 433,062, 649,697.16 and 137,574

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Solution

The fourth proportional to 433,062, 649,697.16 and 137,574 is: 206,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,062 : 649,697.16 = 137,574 : x
  2. Step 2: Convert to fraction form
    433,062/649,697.16 = 137,574/x
  3. Step 3: Cross multiply
    433,062x = 649,697.16 × 137,574
  4. Step 4: Simplify right side
    433,062x = 89,381,437,089.84
  5. Step 5: Solve for x
    x = 89,381,437,089.84/433,062
  6. Step 6: Final answer
    x = 206,394.09

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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.