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Finding the Fourth Proportional to 340,330.17, 468,642.73 and 332,778

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Solution

The fourth proportional to 340,330.17, 468,642.73 and 332,778 is: 458,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,330.17 : 468,642.73 = 332,778 : x
  2. Step 2: Convert to fraction form
    340,330.17/468,642.73 = 332,778/x
  3. Step 3: Cross multiply
    340,330.17x = 468,642.73 × 332,778
  4. Step 4: Simplify right side
    340,330.17x = 155,953,988,740.05
  5. Step 5: Solve for x
    x = 155,953,988,740.05/340,330.17
  6. Step 6: Final answer
    x = 458,243.21

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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.