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Finding the Fourth Proportional to 428,865.60, 643,298.40 and 113,354.40

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Solution

The fourth proportional to 428,865.60, 643,298.40 and 113,354.40 is: 170,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,865.60 : 643,298.40 = 113,354.40 : x
  2. Step 2: Convert to fraction form
    428,865.60/643,298.40 = 113,354.40/x
  3. Step 3: Cross multiply
    428,865.60x = 643,298.40 × 113,354.40
  4. Step 4: Simplify right side
    428,865.60x = 72,920,704,152.96
  5. Step 5: Solve for x
    x = 72,920,704,152.96/428,865.60
  6. Step 6: Final answer
    x = 170,031.60

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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.