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Finding the Fourth Proportional to 557,259.64, 769,214.50 and 330,903.52

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Solution

The fourth proportional to 557,259.64, 769,214.50 and 330,903.52 is: 456,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,259.64 : 769,214.50 = 330,903.52 : x
  2. Step 2: Convert to fraction form
    557,259.64/769,214.50 = 330,903.52/x
  3. Step 3: Cross multiply
    557,259.64x = 769,214.50 × 330,903.52
  4. Step 4: Simplify right side
    557,259.64x = 254,535,785,685.04
  5. Step 5: Solve for x
    x = 254,535,785,685.04/557,259.64
  6. Step 6: Final answer
    x = 456,763.36

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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.