Home / 470,352,984.36-649,123,476.85-282,188,359.50

Finding the Fourth Proportional to 470,352,984.36, 649,123,476.85 and 282,188,359.50

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Solution

The fourth proportional to 470,352,984.36, 649,123,476.85 and 282,188,359.50 is: 389,441,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,352,984.36 : 649,123,476.85 = 282,188,359.50 : x
  2. Step 2: Convert to fraction form
    470,352,984.36/649,123,476.85 = 282,188,359.50/x
  3. Step 3: Cross multiply
    470,352,984.36x = 649,123,476.85 × 282,188,359.50
  4. Step 4: Simplify right side
    470,352,984.36x = 183,175,089,045,237,728
  5. Step 5: Solve for x
    x = 183,175,089,045,237,728/470,352,984.36
  6. Step 6: Final answer
    x = 389,441,749.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.