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Finding the Fourth Proportional to 465,320.88, 696,603.48 and 287,255.34

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Solution

The fourth proportional to 465,320.88, 696,603.48 and 287,255.34 is: 430,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,320.88 : 696,603.48 = 287,255.34 : x
  2. Step 2: Convert to fraction form
    465,320.88/696,603.48 = 287,255.34/x
  3. Step 3: Cross multiply
    465,320.88x = 696,603.48 × 287,255.34
  4. Step 4: Simplify right side
    465,320.88x = 200,103,069,492.58
  5. Step 5: Solve for x
    x = 200,103,069,492.58/465,320.88
  6. Step 6: Final answer
    x = 430,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.