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Finding the Fourth Proportional to 589,405, 884,107.50 and 215,428

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Solution

The fourth proportional to 589,405, 884,107.50 and 215,428 is: 323,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,405 : 884,107.50 = 215,428 : x
  2. Step 2: Convert to fraction form
    589,405/884,107.50 = 215,428/x
  3. Step 3: Cross multiply
    589,405x = 884,107.50 × 215,428
  4. Step 4: Simplify right side
    589,405x = 190,461,510,510
  5. Step 5: Solve for x
    x = 190,461,510,510/589,405
  6. Step 6: Final answer
    x = 323,142

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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.