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Finding the Fourth Proportional to 647,774.52, 893,930.02 and 361,313.06

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Solution

The fourth proportional to 647,774.52, 893,930.02 and 361,313.06 is: 498,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,774.52 : 893,930.02 = 361,313.06 : x
  2. Step 2: Convert to fraction form
    647,774.52/893,930.02 = 361,313.06/x
  3. Step 3: Cross multiply
    647,774.52x = 893,930.02 × 361,313.06
  4. Step 4: Simplify right side
    647,774.52x = 322,988,587,611.51
  5. Step 5: Solve for x
    x = 322,988,587,611.51/647,774.52
  6. Step 6: Final answer
    x = 498,612.68

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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.