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Finding the Fourth Proportional to 468,089.28, 645,962.65 and 253,228.68

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Solution

The fourth proportional to 468,089.28, 645,962.65 and 253,228.68 is: 349,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,089.28 : 645,962.65 = 253,228.68 : x
  2. Step 2: Convert to fraction form
    468,089.28/645,962.65 = 253,228.68/x
  3. Step 3: Cross multiply
    468,089.28x = 645,962.65 × 253,228.68
  4. Step 4: Simplify right side
    468,089.28x = 163,576,268,555.73
  5. Step 5: Solve for x
    x = 163,576,268,555.73/468,089.28
  6. Step 6: Final answer
    x = 349,455.28

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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.