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Finding the Fourth Proportional to 435,844.08, 654,750.32 and 258,467.45

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Solution

The fourth proportional to 435,844.08, 654,750.32 and 258,467.45 is: 388,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,844.08 : 654,750.32 = 258,467.45 : x
  2. Step 2: Convert to fraction form
    435,844.08/654,750.32 = 258,467.45/x
  3. Step 3: Cross multiply
    435,844.08x = 654,750.32 × 258,467.45
  4. Step 4: Simplify right side
    435,844.08x = 169,231,641,031.00
  5. Step 5: Solve for x
    x = 169,231,641,031.00/435,844.08
  6. Step 6: Final answer
    x = 388,284.82

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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.