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Finding the Fourth Proportional to 285,315.92, 427,720.08 and 135,463.76

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Solution

The fourth proportional to 285,315.92, 427,720.08 and 135,463.76 is: 203,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,315.92 : 427,720.08 = 135,463.76 : x
  2. Step 2: Convert to fraction form
    285,315.92/427,720.08 = 135,463.76/x
  3. Step 3: Cross multiply
    285,315.92x = 427,720.08 × 135,463.76
  4. Step 4: Simplify right side
    285,315.92x = 57,940,570,264.30
  5. Step 5: Solve for x
    x = 57,940,570,264.30/285,315.92
  6. Step 6: Final answer
    x = 203,075.14

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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.