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Finding the Fourth Proportional to 647,228.53, 893,176.64 and 360,742.87

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Solution

The fourth proportional to 647,228.53, 893,176.64 and 360,742.87 is: 497,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,228.53 : 893,176.64 = 360,742.87 : x
  2. Step 2: Convert to fraction form
    647,228.53/893,176.64 = 360,742.87/x
  3. Step 3: Cross multiply
    647,228.53x = 893,176.64 × 360,742.87
  4. Step 4: Simplify right side
    647,228.53x = 322,207,104,530.56
  5. Step 5: Solve for x
    x = 322,207,104,530.56/647,228.53
  6. Step 6: Final answer
    x = 497,825.87

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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.