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Finding the Fourth Proportional to 468,531.40, 646,309.38 and 296,395.96

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Solution

The fourth proportional to 468,531.40, 646,309.38 and 296,395.96 is: 408,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,531.40 : 646,309.38 = 296,395.96 : x
  2. Step 2: Convert to fraction form
    468,531.40/646,309.38 = 296,395.96/x
  3. Step 3: Cross multiply
    468,531.40x = 646,309.38 × 296,395.96
  4. Step 4: Simplify right side
    468,531.40x = 191,563,489,142.11
  5. Step 5: Solve for x
    x = 191,563,489,142.11/468,531.40
  6. Step 6: Final answer
    x = 408,859.45

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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.