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Finding the Fourth Proportional to 428,241.79, 642,148.94 and 140,015.88

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Solution

The fourth proportional to 428,241.79, 642,148.94 and 140,015.88 is: 209,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,241.79 : 642,148.94 = 140,015.88 : x
  2. Step 2: Convert to fraction form
    428,241.79/642,148.94 = 140,015.88/x
  3. Step 3: Cross multiply
    428,241.79x = 642,148.94 × 140,015.88
  4. Step 4: Simplify right side
    428,241.79x = 89,911,048,925.17
  5. Step 5: Solve for x
    x = 89,911,048,925.17/428,241.79
  6. Step 6: Final answer
    x = 209,953.93

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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.