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Finding the Fourth Proportional to 415,436, 623,214.30 and 131,030.42

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Solution

The fourth proportional to 415,436, 623,214.30 and 131,030.42 is: 196,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,436 : 623,214.30 = 131,030.42 : x
  2. Step 2: Convert to fraction form
    415,436/623,214.30 = 131,030.42/x
  3. Step 3: Cross multiply
    415,436x = 623,214.30 × 131,030.42
  4. Step 4: Simplify right side
    415,436x = 81,660,031,479.01
  5. Step 5: Solve for x
    x = 81,660,031,479.01/415,436
  6. Step 6: Final answer
    x = 196,564.65

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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.