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Finding the Fourth Proportional to 442,056.40, 662,303.80 and 427,438.80

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Solution

The fourth proportional to 442,056.40, 662,303.80 and 427,438.80 is: 640,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,056.40 : 662,303.80 = 427,438.80 : x
  2. Step 2: Convert to fraction form
    442,056.40/662,303.80 = 427,438.80/x
  3. Step 3: Cross multiply
    442,056.40x = 662,303.80 × 427,438.80
  4. Step 4: Simplify right side
    442,056.40x = 283,094,341,507.44
  5. Step 5: Solve for x
    x = 283,094,341,507.44/442,056.40
  6. Step 6: Final answer
    x = 640,403.22

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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.