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Finding the Fourth Proportional to 647,214.08, 893,185.76 and 360,736

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Solution

The fourth proportional to 647,214.08, 893,185.76 and 360,736 is: 497,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,214.08 : 893,185.76 = 360,736 : x
  2. Step 2: Convert to fraction form
    647,214.08/893,185.76 = 360,736/x
  3. Step 3: Cross multiply
    647,214.08x = 893,185.76 × 360,736
  4. Step 4: Simplify right side
    647,214.08x = 322,204,258,319.36
  5. Step 5: Solve for x
    x = 322,204,258,319.36/647,214.08
  6. Step 6: Final answer
    x = 497,832.58

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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.