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Finding the Fourth Proportional to 456,004.60, 684,006.90 and 385,145.80

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Solution

The fourth proportional to 456,004.60, 684,006.90 and 385,145.80 is: 577,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,004.60 : 684,006.90 = 385,145.80 : x
  2. Step 2: Convert to fraction form
    456,004.60/684,006.90 = 385,145.80/x
  3. Step 3: Cross multiply
    456,004.60x = 684,006.90 × 385,145.80
  4. Step 4: Simplify right side
    456,004.60x = 263,442,384,706.02
  5. Step 5: Solve for x
    x = 263,442,384,706.02/456,004.60
  6. Step 6: Final answer
    x = 577,718.70

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Similar ratio
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1.5x scale

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.