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Finding the Fourth Proportional to 836,491, 1,154,362.98 and 454,517.68

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Solution

The fourth proportional to 836,491, 1,154,362.98 and 454,517.68 is: 627,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,491 : 1,154,362.98 = 454,517.68 : x
  2. Step 2: Convert to fraction form
    836,491/1,154,362.98 = 454,517.68/x
  3. Step 3: Cross multiply
    836,491x = 1,154,362.98 × 454,517.68
  4. Step 4: Simplify right side
    836,491x = 524,678,383,547.49
  5. Step 5: Solve for x
    x = 524,678,383,547.49/836,491
  6. Step 6: Final answer
    x = 627,237.33

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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.