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Finding the Fourth Proportional to 380,036.80, 570,055.20 and 308,873.53

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Solution

The fourth proportional to 380,036.80, 570,055.20 and 308,873.53 is: 463,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,036.80 : 570,055.20 = 308,873.53 : x
  2. Step 2: Convert to fraction form
    380,036.80/570,055.20 = 308,873.53/x
  3. Step 3: Cross multiply
    380,036.80x = 570,055.20 × 308,873.53
  4. Step 4: Simplify right side
    380,036.80x = 176,074,961,473.15
  5. Step 5: Solve for x
    x = 176,074,961,473.15/380,036.80
  6. Step 6: Final answer
    x = 463,310.29

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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.