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Finding the Fourth Proportional to 435,499.56, 652,108.86 and 285,267.24

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Solution

The fourth proportional to 435,499.56, 652,108.86 and 285,267.24 is: 427,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,499.56 : 652,108.86 = 285,267.24 : x
  2. Step 2: Convert to fraction form
    435,499.56/652,108.86 = 285,267.24/x
  3. Step 3: Cross multiply
    435,499.56x = 652,108.86 × 285,267.24
  4. Step 4: Simplify right side
    435,499.56x = 186,025,294,671.75
  5. Step 5: Solve for x
    x = 186,025,294,671.75/435,499.56
  6. Step 6: Final answer
    x = 427,153.81

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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.