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Finding the Fourth Proportional to 411,036.90, 616,409.55 and 144,806.10

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Solution

The fourth proportional to 411,036.90, 616,409.55 and 144,806.10 is: 217,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,036.90 : 616,409.55 = 144,806.10 : x
  2. Step 2: Convert to fraction form
    411,036.90/616,409.55 = 144,806.10/x
  3. Step 3: Cross multiply
    411,036.90x = 616,409.55 × 144,806.10
  4. Step 4: Simplify right side
    411,036.90x = 89,259,862,938.26
  5. Step 5: Solve for x
    x = 89,259,862,938.26/411,036.90
  6. Step 6: Final answer
    x = 217,157.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.