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Finding the Fourth Proportional to 442,989.68, 663,915.90 and 385,829.60

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Solution

The fourth proportional to 442,989.68, 663,915.90 and 385,829.60 is: 578,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989.68 : 663,915.90 = 385,829.60 : x
  2. Step 2: Convert to fraction form
    442,989.68/663,915.90 = 385,829.60/x
  3. Step 3: Cross multiply
    442,989.68x = 663,915.90 × 385,829.60
  4. Step 4: Simplify right side
    442,989.68x = 256,158,406,130.64
  5. Step 5: Solve for x
    x = 256,158,406,130.64/442,989.68
  6. Step 6: Final answer
    x = 578,249.15

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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.