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Finding the Fourth Proportional to 528,164, 728,866.32 and 289,694.88

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Solution

The fourth proportional to 528,164, 728,866.32 and 289,694.88 is: 399,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,164 : 728,866.32 = 289,694.88 : x
  2. Step 2: Convert to fraction form
    528,164/728,866.32 = 289,694.88/x
  3. Step 3: Cross multiply
    528,164x = 728,866.32 × 289,694.88
  4. Step 4: Simplify right side
    528,164x = 211,148,841,108.44
  5. Step 5: Solve for x
    x = 211,148,841,108.44/528,164
  6. Step 6: Final answer
    x = 399,778.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.