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Finding the Fourth Proportional to 305,915.85, 458,882.82 and 146,008.63

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Solution

The fourth proportional to 305,915.85, 458,882.82 and 146,008.63 is: 219,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,915.85 : 458,882.82 = 146,008.63 : x
  2. Step 2: Convert to fraction form
    305,915.85/458,882.82 = 146,008.63/x
  3. Step 3: Cross multiply
    305,915.85x = 458,882.82 × 146,008.63
  4. Step 4: Simplify right side
    305,915.85x = 67,000,851,148.69
  5. Step 5: Solve for x
    x = 67,000,851,148.69/305,915.85
  6. Step 6: Final answer
    x = 219,017.26

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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.