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Finding the Fourth Proportional to 466,112.72, 643,284.88 and 284,930.72

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Solution

The fourth proportional to 466,112.72, 643,284.88 and 284,930.72 is: 393,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,112.72 : 643,284.88 = 284,930.72 : x
  2. Step 2: Convert to fraction form
    466,112.72/643,284.88 = 284,930.72/x
  3. Step 3: Cross multiply
    466,112.72x = 643,284.88 × 284,930.72
  4. Step 4: Simplify right side
    466,112.72x = 183,291,624,023.51
  5. Step 5: Solve for x
    x = 183,291,624,023.51/466,112.72
  6. Step 6: Final answer
    x = 393,234.55

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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.