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Finding the Fourth Proportional to 475,648.29, 712,521.84 and 286,004.83

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Solution

The fourth proportional to 475,648.29, 712,521.84 and 286,004.83 is: 428,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,648.29 : 712,521.84 = 286,004.83 : x
  2. Step 2: Convert to fraction form
    475,648.29/712,521.84 = 286,004.83/x
  3. Step 3: Cross multiply
    475,648.29x = 712,521.84 × 286,004.83
  4. Step 4: Simplify right side
    475,648.29x = 203,784,687,720.49
  5. Step 5: Solve for x
    x = 203,784,687,720.49/475,648.29
  6. Step 6: Final answer
    x = 428,435.66

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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.