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Finding the Fourth Proportional to 428,894.76, 643,155.22 and 144,532.32

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Solution

The fourth proportional to 428,894.76, 643,155.22 and 144,532.32 is: 216,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,894.76 : 643,155.22 = 144,532.32 : x
  2. Step 2: Convert to fraction form
    428,894.76/643,155.22 = 144,532.32/x
  3. Step 3: Cross multiply
    428,894.76x = 643,155.22 × 144,532.32
  4. Step 4: Simplify right side
    428,894.76x = 92,956,716,066.71
  5. Step 5: Solve for x
    x = 92,956,716,066.71/428,894.76
  6. Step 6: Final answer
    x = 216,735.49

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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.