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Finding the Fourth Proportional to 470,074.84, 703,552.98 and 428,052.04

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Solution

The fourth proportional to 470,074.84, 703,552.98 and 428,052.04 is: 640,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,074.84 : 703,552.98 = 428,052.04 : x
  2. Step 2: Convert to fraction form
    470,074.84/703,552.98 = 428,052.04/x
  3. Step 3: Cross multiply
    470,074.84x = 703,552.98 × 428,052.04
  4. Step 4: Simplify right side
    470,074.84x = 301,157,288,337.08
  5. Step 5: Solve for x
    x = 301,157,288,337.08/470,074.84
  6. Step 6: Final answer
    x = 640,658.17

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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.