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Finding the Fourth Proportional to 285,252.77, 427,264.00 and 268,484.46

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Solution

The fourth proportional to 285,252.77, 427,264.00 and 268,484.46 is: 402,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,252.77 : 427,264.00 = 268,484.46 : x
  2. Step 2: Convert to fraction form
    285,252.77/427,264.00 = 268,484.46/x
  3. Step 3: Cross multiply
    285,252.77x = 427,264.00 × 268,484.46
  4. Step 4: Simplify right side
    285,252.77x = 114,713,742,975.02
  5. Step 5: Solve for x
    x = 114,713,742,975.02/285,252.77
  6. Step 6: Final answer
    x = 402,147.70

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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.