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Finding the Fourth Proportional to 285,406.23, 428,106.24 and 85,718.10

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Solution

The fourth proportional to 285,406.23, 428,106.24 and 85,718.10 is: 128,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,406.23 : 428,106.24 = 85,718.10 : x
  2. Step 2: Convert to fraction form
    285,406.23/428,106.24 = 85,718.10/x
  3. Step 3: Cross multiply
    285,406.23x = 428,106.24 × 85,718.10
  4. Step 4: Simplify right side
    285,406.23x = 36,696,453,490.94
  5. Step 5: Solve for x
    x = 36,696,453,490.94/285,406.23
  6. Step 6: Final answer
    x = 128,576.22

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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.