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Finding the Fourth Proportional to 647,116.08, 893,046 and 360,633.60

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Solution

The fourth proportional to 647,116.08, 893,046 and 360,633.60 is: 497,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,116.08 : 893,046 = 360,633.60 : x
  2. Step 2: Convert to fraction form
    647,116.08/893,046 = 360,633.60/x
  3. Step 3: Cross multiply
    647,116.08x = 893,046 × 360,633.60
  4. Step 4: Simplify right side
    647,116.08x = 322,062,393,945.60
  5. Step 5: Solve for x
    x = 322,062,393,945.60/647,116.08
  6. Step 6: Final answer
    x = 497,688.75

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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.