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Finding the Fourth Proportional to 561,585.36, 775,505.16 and 360,731.28

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Solution

The fourth proportional to 561,585.36, 775,505.16 and 360,731.28 is: 498,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,585.36 : 775,505.16 = 360,731.28 : x
  2. Step 2: Convert to fraction form
    561,585.36/775,505.16 = 360,731.28/x
  3. Step 3: Cross multiply
    561,585.36x = 775,505.16 × 360,731.28
  4. Step 4: Simplify right side
    561,585.36x = 279,748,969,013.41
  5. Step 5: Solve for x
    x = 279,748,969,013.41/561,585.36
  6. Step 6: Final answer
    x = 498,141.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.