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Finding the Fourth Proportional to 385,802.81, 578,704.29 and 161,040.64

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Solution

The fourth proportional to 385,802.81, 578,704.29 and 161,040.64 is: 241,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802.81 : 578,704.29 = 161,040.64 : x
  2. Step 2: Convert to fraction form
    385,802.81/578,704.29 = 161,040.64/x
  3. Step 3: Cross multiply
    385,802.81x = 578,704.29 × 161,040.64
  4. Step 4: Simplify right side
    385,802.81x = 93,194,909,232.35
  5. Step 5: Solve for x
    x = 93,194,909,232.35/385,802.81
  6. Step 6: Final answer
    x = 241,560.99

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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.