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Finding the Fourth Proportional to 468,530.40, 646,308 and 296,394.96

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Solution

The fourth proportional to 468,530.40, 646,308 and 296,394.96 is: 408,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,530.40 : 646,308 = 296,394.96 : x
  2. Step 2: Convert to fraction form
    468,530.40/646,308 = 296,394.96/x
  3. Step 3: Cross multiply
    468,530.40x = 646,308 × 296,394.96
  4. Step 4: Simplify right side
    468,530.40x = 191,562,433,807.68
  5. Step 5: Solve for x
    x = 191,562,433,807.68/468,530.40
  6. Step 6: Final answer
    x = 408,858.07

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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.