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Finding the Fourth Proportional to 777,160, 1,164,961.76 and 303,193.28

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Solution

The fourth proportional to 777,160, 1,164,961.76 and 303,193.28 is: 454,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,160 : 1,164,961.76 = 303,193.28 : x
  2. Step 2: Convert to fraction form
    777,160/1,164,961.76 = 303,193.28/x
  3. Step 3: Cross multiply
    777,160x = 1,164,961.76 × 303,193.28
  4. Step 4: Simplify right side
    777,160x = 353,208,577,088.97
  5. Step 5: Solve for x
    x = 353,208,577,088.97/777,160
  6. Step 6: Final answer
    x = 454,486.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.