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Finding the Fourth Proportional to 470,745,793.80, 706,118,690.70 and 147,629,147.40

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Solution

The fourth proportional to 470,745,793.80, 706,118,690.70 and 147,629,147.40 is: 221,443,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745,793.80 : 706,118,690.70 = 147,629,147.40 : x
  2. Step 2: Convert to fraction form
    470,745,793.80/706,118,690.70 = 147,629,147.40/x
  3. Step 3: Cross multiply
    470,745,793.80x = 706,118,690.70 × 147,629,147.40
  4. Step 4: Simplify right side
    470,745,793.80x = 104,243,700,271,245,328
  5. Step 5: Solve for x
    x = 104,243,700,271,245,328/470,745,793.80
  6. Step 6: Final answer
    x = 221,443,721.10

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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.