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Finding the Fourth Proportional to 456,470.70, 684,706.05 and 385,611.90

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Solution

The fourth proportional to 456,470.70, 684,706.05 and 385,611.90 is: 578,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470.70 : 684,706.05 = 385,611.90 : x
  2. Step 2: Convert to fraction form
    456,470.70/684,706.05 = 385,611.90/x
  3. Step 3: Cross multiply
    456,470.70x = 684,706.05 × 385,611.90
  4. Step 4: Simplify right side
    456,470.70x = 264,030,800,882.00
  5. Step 5: Solve for x
    x = 264,030,800,882.00/456,470.70
  6. Step 6: Final answer
    x = 578,417.85

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Similar ratio
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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.