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Finding the Fourth Proportional to 458,998,409.99, 688,632,696.53 and 148,100,193.60

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Solution

The fourth proportional to 458,998,409.99, 688,632,696.53 and 148,100,193.60 is: 222,193,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,998,409.99 : 688,632,696.53 = 148,100,193.60 : x
  2. Step 2: Convert to fraction form
    458,998,409.99/688,632,696.53 = 148,100,193.60/x
  3. Step 3: Cross multiply
    458,998,409.99x = 688,632,696.53 × 148,100,193.60
  4. Step 4: Simplify right side
    458,998,409.99x = 101,986,635,676,492,560
  5. Step 5: Solve for x
    x = 101,986,635,676,492,560/458,998,409.99
  6. Step 6: Final answer
    x = 222,193,875.75

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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.