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Finding the Fourth Proportional to 456,090.90, 684,136.35 and 442,968.90

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Solution

The fourth proportional to 456,090.90, 684,136.35 and 442,968.90 is: 664,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,090.90 : 684,136.35 = 442,968.90 : x
  2. Step 2: Convert to fraction form
    456,090.90/684,136.35 = 442,968.90/x
  3. Step 3: Cross multiply
    456,090.90x = 684,136.35 × 442,968.90
  4. Step 4: Simplify right side
    456,090.90x = 303,051,126,409.52
  5. Step 5: Solve for x
    x = 303,051,126,409.52/456,090.90
  6. Step 6: Final answer
    x = 664,453.35

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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.