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Finding the Fourth Proportional to 437,730, 656,595 and 105,306

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Solution

The fourth proportional to 437,730, 656,595 and 105,306 is: 157,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,730 : 656,595 = 105,306 : x
  2. Step 2: Convert to fraction form
    437,730/656,595 = 105,306/x
  3. Step 3: Cross multiply
    437,730x = 656,595 × 105,306
  4. Step 4: Simplify right side
    437,730x = 69,143,393,070
  5. Step 5: Solve for x
    x = 69,143,393,070/437,730
  6. Step 6: Final answer
    x = 157,959

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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.