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Finding the Fourth Proportional to 465,378.63, 642,281.90 and 284,051.76

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Solution

The fourth proportional to 465,378.63, 642,281.90 and 284,051.76 is: 392,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,378.63 : 642,281.90 = 284,051.76 : x
  2. Step 2: Convert to fraction form
    465,378.63/642,281.90 = 284,051.76/x
  3. Step 3: Cross multiply
    465,378.63x = 642,281.90 × 284,051.76
  4. Step 4: Simplify right side
    465,378.63x = 182,441,302,690.89
  5. Step 5: Solve for x
    x = 182,441,302,690.89/465,378.63
  6. Step 6: Final answer
    x = 392,027.68

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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.