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Finding the Fourth Proportional to 302,915.38, 418,023.57 and 175,664.92

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Solution

The fourth proportional to 302,915.38, 418,023.57 and 175,664.92 is: 242,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,915.38 : 418,023.57 = 175,664.92 : x
  2. Step 2: Convert to fraction form
    302,915.38/418,023.57 = 175,664.92/x
  3. Step 3: Cross multiply
    302,915.38x = 418,023.57 × 175,664.92
  4. Step 4: Simplify right side
    302,915.38x = 73,432,076,982.16
  5. Step 5: Solve for x
    x = 73,432,076,982.16/302,915.38
  6. Step 6: Final answer
    x = 242,417.79

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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.