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Finding the Fourth Proportional to 385,802.63, 578,704.01 and 161,040.45

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Solution

The fourth proportional to 385,802.63, 578,704.01 and 161,040.45 is: 241,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802.63 : 578,704.01 = 161,040.45 : x
  2. Step 2: Convert to fraction form
    385,802.63/578,704.01 = 161,040.45/x
  3. Step 3: Cross multiply
    385,802.63x = 578,704.01 × 161,040.45
  4. Step 4: Simplify right side
    385,802.63x = 93,194,753,382.00
  5. Step 5: Solve for x
    x = 93,194,753,382.00/385,802.63
  6. Step 6: Final answer
    x = 241,560.70

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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.