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Finding the Fourth Proportional to 690,147, 1,035,386.64 and 216,832.19

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Solution

The fourth proportional to 690,147, 1,035,386.64 and 216,832.19 is: 325,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,147 : 1,035,386.64 = 216,832.19 : x
  2. Step 2: Convert to fraction form
    690,147/1,035,386.64 = 216,832.19/x
  3. Step 3: Cross multiply
    690,147x = 1,035,386.64 × 216,832.19
  4. Step 4: Simplify right side
    690,147x = 224,505,147,471.01
  5. Step 5: Solve for x
    x = 224,505,147,471.01/690,147
  6. Step 6: Final answer
    x = 325,300.48

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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.