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Finding the Fourth Proportional to 545,705.64, 753,096.47 and 303,988.15

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Solution

The fourth proportional to 545,705.64, 753,096.47 and 303,988.15 is: 419,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,705.64 : 753,096.47 = 303,988.15 : x
  2. Step 2: Convert to fraction form
    545,705.64/753,096.47 = 303,988.15/x
  3. Step 3: Cross multiply
    545,705.64x = 753,096.47 × 303,988.15
  4. Step 4: Simplify right side
    545,705.64x = 228,932,401,564.06
  5. Step 5: Solve for x
    x = 228,932,401,564.06/545,705.64
  6. Step 6: Final answer
    x = 419,516.28

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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.