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Finding the Fourth Proportional to 428,870.10, 643,305.15 and 113,358.90

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Solution

The fourth proportional to 428,870.10, 643,305.15 and 113,358.90 is: 170,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,870.10 : 643,305.15 = 113,358.90 : x
  2. Step 2: Convert to fraction form
    428,870.10/643,305.15 = 113,358.90/x
  3. Step 3: Cross multiply
    428,870.10x = 643,305.15 × 113,358.90
  4. Step 4: Simplify right side
    428,870.10x = 72,924,364,168.34
  5. Step 5: Solve for x
    x = 72,924,364,168.34/428,870.10
  6. Step 6: Final answer
    x = 170,038.35

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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.