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Finding the Fourth Proportional to 720,738.34, 994,717.83 and 414,808.54

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Solution

The fourth proportional to 720,738.34, 994,717.83 and 414,808.54 is: 572,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,738.34 : 994,717.83 = 414,808.54 : x
  2. Step 2: Convert to fraction form
    720,738.34/994,717.83 = 414,808.54/x
  3. Step 3: Cross multiply
    720,738.34x = 994,717.83 × 414,808.54
  4. Step 4: Simplify right side
    720,738.34x = 412,617,450,774.27
  5. Step 5: Solve for x
    x = 412,617,450,774.27/720,738.34
  6. Step 6: Final answer
    x = 572,492.72

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1.5x scale

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.