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Finding the Fourth Proportional to 415,035.80, 623,136.90 and 257,571.80

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Solution

The fourth proportional to 415,035.80, 623,136.90 and 257,571.80 is: 386,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,035.80 : 623,136.90 = 257,571.80 : x
  2. Step 2: Convert to fraction form
    415,035.80/623,136.90 = 257,571.80/x
  3. Step 3: Cross multiply
    415,035.80x = 623,136.90 × 257,571.80
  4. Step 4: Simplify right side
    415,035.80x = 160,502,492,979.42
  5. Step 5: Solve for x
    x = 160,502,492,979.42/415,035.80
  6. Step 6: Final answer
    x = 386,719.63

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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.