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Finding the Fourth Proportional to 470,830.40, 706,245.60 and 408,622.40

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Solution

The fourth proportional to 470,830.40, 706,245.60 and 408,622.40 is: 612,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,830.40 : 706,245.60 = 408,622.40 : x
  2. Step 2: Convert to fraction form
    470,830.40/706,245.60 = 408,622.40/x
  3. Step 3: Cross multiply
    470,830.40x = 706,245.60 × 408,622.40
  4. Step 4: Simplify right side
    470,830.40x = 288,587,772,061.44
  5. Step 5: Solve for x
    x = 288,587,772,061.44/470,830.40
  6. Step 6: Final answer
    x = 612,933.60

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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.