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Finding the Fourth Proportional to 423,875.92, 585,466.26 and 316,920.28

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Solution

The fourth proportional to 423,875.92, 585,466.26 and 316,920.28 is: 437,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,875.92 : 585,466.26 = 316,920.28 : x
  2. Step 2: Convert to fraction form
    423,875.92/585,466.26 = 316,920.28/x
  3. Step 3: Cross multiply
    423,875.92x = 585,466.26 × 316,920.28
  4. Step 4: Simplify right side
    423,875.92x = 185,546,131,049.75
  5. Step 5: Solve for x
    x = 185,546,131,049.75/423,875.92
  6. Step 6: Final answer
    x = 437,736.90

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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.