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Finding the Fourth Proportional to 428,898.24, 643,160.48 and 144,535.82

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Solution

The fourth proportional to 428,898.24, 643,160.48 and 144,535.82 is: 216,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,898.24 : 643,160.48 = 144,535.82 : x
  2. Step 2: Convert to fraction form
    428,898.24/643,160.48 = 144,535.82/x
  3. Step 3: Cross multiply
    428,898.24x = 643,160.48 × 144,535.82
  4. Step 4: Simplify right side
    428,898.24x = 92,959,723,429.91
  5. Step 5: Solve for x
    x = 92,959,723,429.91/428,898.24
  6. Step 6: Final answer
    x = 216,740.74

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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.