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Finding the Fourth Proportional to 385,802.31, 578,703.53 and 161,040.13

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Solution

The fourth proportional to 385,802.31, 578,703.53 and 161,040.13 is: 241,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802.31 : 578,703.53 = 161,040.13 : x
  2. Step 2: Convert to fraction form
    385,802.31/578,703.53 = 161,040.13/x
  3. Step 3: Cross multiply
    385,802.31x = 578,703.53 × 161,040.13
  4. Step 4: Simplify right side
    385,802.31x = 93,194,491,702.66
  5. Step 5: Solve for x
    x = 93,194,491,702.66/385,802.31
  6. Step 6: Final answer
    x = 241,560.22

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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.