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Finding the Fourth Proportional to 466,636.80, 643,558.40 and 296,806.40

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Solution

The fourth proportional to 466,636.80, 643,558.40 and 296,806.40 is: 409,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,636.80 : 643,558.40 = 296,806.40 : x
  2. Step 2: Convert to fraction form
    466,636.80/643,558.40 = 296,806.40/x
  3. Step 3: Cross multiply
    466,636.80x = 643,558.40 × 296,806.40
  4. Step 4: Simplify right side
    466,636.80x = 191,012,251,893.76
  5. Step 5: Solve for x
    x = 191,012,251,893.76/466,636.80
  6. Step 6: Final answer
    x = 409,338.17

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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.