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Finding the Fourth Proportional to 470,073.84, 703,551.48 and 428,051.04

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Solution

The fourth proportional to 470,073.84, 703,551.48 and 428,051.04 is: 640,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,073.84 : 703,551.48 = 428,051.04 : x
  2. Step 2: Convert to fraction form
    470,073.84/703,551.48 = 428,051.04/x
  3. Step 3: Cross multiply
    470,073.84x = 703,551.48 × 428,051.04
  4. Step 4: Simplify right side
    470,073.84x = 301,155,942,707.54
  5. Step 5: Solve for x
    x = 301,155,942,707.54/470,073.84
  6. Step 6: Final answer
    x = 640,656.67

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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.