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Finding the Fourth Proportional to 480,287.77, 720,431.64 and 180,835.51

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Solution

The fourth proportional to 480,287.77, 720,431.64 and 180,835.51 is: 271,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,287.77 : 720,431.64 = 180,835.51 : x
  2. Step 2: Convert to fraction form
    480,287.77/720,431.64 = 180,835.51/x
  3. Step 3: Cross multiply
    480,287.77x = 720,431.64 × 180,835.51
  4. Step 4: Simplify right side
    480,287.77x = 130,279,623,039.54
  5. Step 5: Solve for x
    x = 130,279,623,039.54/480,287.77
  6. Step 6: Final answer
    x = 271,253.26

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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.