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Finding the Fourth Proportional to 437,730.50, 656,595.75 and 105,306.50

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Solution

The fourth proportional to 437,730.50, 656,595.75 and 105,306.50 is: 157,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,730.50 : 656,595.75 = 105,306.50 : x
  2. Step 2: Convert to fraction form
    437,730.50/656,595.75 = 105,306.50/x
  3. Step 3: Cross multiply
    437,730.50x = 656,595.75 × 105,306.50
  4. Step 4: Simplify right side
    437,730.50x = 69,143,800,347.38
  5. Step 5: Solve for x
    x = 69,143,800,347.38/437,730.50
  6. Step 6: Final answer
    x = 157,959.75

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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.