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Finding the Fourth Proportional to 431,522.27, 647,502.04 and 287,526.51

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Solution

The fourth proportional to 431,522.27, 647,502.04 and 287,526.51 is: 431,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,522.27 : 647,502.04 = 287,526.51 : x
  2. Step 2: Convert to fraction form
    431,522.27/647,502.04 = 287,526.51/x
  3. Step 3: Cross multiply
    431,522.27x = 647,502.04 × 287,526.51
  4. Step 4: Simplify right side
    431,522.27x = 186,174,000,521.15
  5. Step 5: Solve for x
    x = 186,174,000,521.15/431,522.27
  6. Step 6: Final answer
    x = 431,435.44

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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.