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Finding the Fourth Proportional to 468,342.93, 646,328.91 and 287,019.84

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Solution

The fourth proportional to 468,342.93, 646,328.91 and 287,019.84 is: 396,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,342.93 : 646,328.91 = 287,019.84 : x
  2. Step 2: Convert to fraction form
    468,342.93/646,328.91 = 287,019.84/x
  3. Step 3: Cross multiply
    468,342.93x = 646,328.91 × 287,019.84
  4. Step 4: Simplify right side
    468,342.93x = 185,509,217,103.93
  5. Step 5: Solve for x
    x = 185,509,217,103.93/468,342.93
  6. Step 6: Final answer
    x = 396,096.98

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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.