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Finding the Fourth Proportional to 753,162, 1,038,907.14 and 447,036.68

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Solution

The fourth proportional to 753,162, 1,038,907.14 and 447,036.68 is: 616,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,162 : 1,038,907.14 = 447,036.68 : x
  2. Step 2: Convert to fraction form
    753,162/1,038,907.14 = 447,036.68/x
  3. Step 3: Cross multiply
    753,162x = 1,038,907.14 × 447,036.68
  4. Step 4: Simplify right side
    753,162x = 464,429,598,693.90
  5. Step 5: Solve for x
    x = 464,429,598,693.90/753,162
  6. Step 6: Final answer
    x = 616,639.71

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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.