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Finding the Fourth Proportional to 434,725, 652,145.82 and 185,465.32

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Solution

The fourth proportional to 434,725, 652,145.82 and 185,465.32 is: 278,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,725 : 652,145.82 = 185,465.32 : x
  2. Step 2: Convert to fraction form
    434,725/652,145.82 = 185,465.32/x
  3. Step 3: Cross multiply
    434,725x = 652,145.82 × 185,465.32
  4. Step 4: Simplify right side
    434,725x = 120,950,433,192.96
  5. Step 5: Solve for x
    x = 120,950,433,192.96/434,725
  6. Step 6: Final answer
    x = 278,222.86

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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.