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Finding the Fourth Proportional to 385,810.60, 578,807.07 and 161,046.13

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Solution

The fourth proportional to 385,810.60, 578,807.07 and 161,046.13 is: 241,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,810.60 : 578,807.07 = 161,046.13 : x
  2. Step 2: Convert to fraction form
    385,810.60/578,807.07 = 161,046.13/x
  3. Step 3: Cross multiply
    385,810.60x = 578,807.07 × 161,046.13
  4. Step 4: Simplify right side
    385,810.60x = 93,214,638,640.14
  5. Step 5: Solve for x
    x = 93,214,638,640.14/385,810.60
  6. Step 6: Final answer
    x = 241,607.25

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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.