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Finding the Fourth Proportional to 642,710.32, 963,870.84 and 193,311.88

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Solution

The fourth proportional to 642,710.32, 963,870.84 and 193,311.88 is: 289,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,710.32 : 963,870.84 = 193,311.88 : x
  2. Step 2: Convert to fraction form
    642,710.32/963,870.84 = 193,311.88/x
  3. Step 3: Cross multiply
    642,710.32x = 963,870.84 × 193,311.88
  4. Step 4: Simplify right side
    642,710.32x = 186,327,684,157.58
  5. Step 5: Solve for x
    x = 186,327,684,157.58/642,710.32
  6. Step 6: Final answer
    x = 289,909.28

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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.