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Finding the Fourth Proportional to 333,491.34, 500,506.74 and 258,433.50

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Solution

The fourth proportional to 333,491.34, 500,506.74 and 258,433.50 is: 387,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,491.34 : 500,506.74 = 258,433.50 : x
  2. Step 2: Convert to fraction form
    333,491.34/500,506.74 = 258,433.50/x
  3. Step 3: Cross multiply
    333,491.34x = 500,506.74 × 258,433.50
  4. Step 4: Simplify right side
    333,491.34x = 129,347,708,591.79
  5. Step 5: Solve for x
    x = 129,347,708,591.79/333,491.34
  6. Step 6: Final answer
    x = 387,859.27

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1.5x scale

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.