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Finding the Fourth Proportional to 504,077.28, 695,642.40 and 289,256.64

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Solution

The fourth proportional to 504,077.28, 695,642.40 and 289,256.64 is: 399,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,077.28 : 695,642.40 = 289,256.64 : x
  2. Step 2: Convert to fraction form
    504,077.28/695,642.40 = 289,256.64/x
  3. Step 3: Cross multiply
    504,077.28x = 695,642.40 × 289,256.64
  4. Step 4: Simplify right side
    504,077.28x = 201,219,183,265.54
  5. Step 5: Solve for x
    x = 201,219,183,265.54/504,077.28
  6. Step 6: Final answer
    x = 399,183.20

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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.