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Finding the Fourth Proportional to 428,564.78, 642,954.20 and 302,451.35

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Solution

The fourth proportional to 428,564.78, 642,954.20 and 302,451.35 is: 453,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,564.78 : 642,954.20 = 302,451.35 : x
  2. Step 2: Convert to fraction form
    428,564.78/642,954.20 = 302,451.35/x
  3. Step 3: Cross multiply
    428,564.78x = 642,954.20 × 302,451.35
  4. Step 4: Simplify right side
    428,564.78x = 194,462,363,319.53
  5. Step 5: Solve for x
    x = 194,462,363,319.53/428,564.78
  6. Step 6: Final answer
    x = 453,752.55

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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.