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Finding the Fourth Proportional to 456,136.40, 684,139.80 and 156,630.80

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Solution

The fourth proportional to 456,136.40, 684,139.80 and 156,630.80 is: 234,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,136.40 : 684,139.80 = 156,630.80 : x
  2. Step 2: Convert to fraction form
    456,136.40/684,139.80 = 156,630.80/x
  3. Step 3: Cross multiply
    456,136.40x = 684,139.80 × 156,630.80
  4. Step 4: Simplify right side
    456,136.40x = 107,157,364,185.84
  5. Step 5: Solve for x
    x = 107,157,364,185.84/456,136.40
  6. Step 6: Final answer
    x = 234,923.95

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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.