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Finding the Fourth Proportional to 306,915.94, 423,429.33 and 306,442.90

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Solution

The fourth proportional to 306,915.94, 423,429.33 and 306,442.90 is: 422,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,915.94 : 423,429.33 = 306,442.90 : x
  2. Step 2: Convert to fraction form
    306,915.94/423,429.33 = 306,442.90/x
  3. Step 3: Cross multiply
    306,915.94x = 423,429.33 × 306,442.90
  4. Step 4: Simplify right side
    306,915.94x = 129,756,911,830.26
  5. Step 5: Solve for x
    x = 129,756,911,830.26/306,915.94
  6. Step 6: Final answer
    x = 422,776.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.