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Finding the Fourth Proportional to 313,830,420.70, 470,745,631.05 and 98,419,323.10

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Solution

The fourth proportional to 313,830,420.70, 470,745,631.05 and 98,419,323.10 is: 147,628,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830,420.70 : 470,745,631.05 = 98,419,323.10 : x
  2. Step 2: Convert to fraction form
    313,830,420.70/470,745,631.05 = 98,419,323.10/x
  3. Step 3: Cross multiply
    313,830,420.70x = 470,745,631.05 × 98,419,323.10
  4. Step 4: Simplify right side
    313,830,420.70x = 46,330,466,360,223,344
  5. Step 5: Solve for x
    x = 46,330,466,360,223,344/313,830,420.70
  6. Step 6: Final answer
    x = 147,628,984.65

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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.