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Finding the Fourth Proportional to 285,219.95, 427,214.81 and 268,451.51

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Solution

The fourth proportional to 285,219.95, 427,214.81 and 268,451.51 is: 402,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,219.95 : 427,214.81 = 268,451.51 : x
  2. Step 2: Convert to fraction form
    285,219.95/427,214.81 = 268,451.51/x
  3. Step 3: Cross multiply
    285,219.95x = 427,214.81 × 268,451.51
  4. Step 4: Simplify right side
    285,219.95x = 114,686,459,373.92
  5. Step 5: Solve for x
    x = 114,686,459,373.92/285,219.95
  6. Step 6: Final answer
    x = 402,098.32

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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.