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Finding the Fourth Proportional to 428,891.51, 643,150.35 and 144,529.06

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Solution

The fourth proportional to 428,891.51, 643,150.35 and 144,529.06 is: 216,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,891.51 : 643,150.35 = 144,529.06 : x
  2. Step 2: Convert to fraction form
    428,891.51/643,150.35 = 144,529.06/x
  3. Step 3: Cross multiply
    428,891.51x = 643,150.35 × 144,529.06
  4. Step 4: Simplify right side
    428,891.51x = 92,953,915,528.69
  5. Step 5: Solve for x
    x = 92,953,915,528.69/428,891.51
  6. Step 6: Final answer
    x = 216,730.60

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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.