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Finding the Fourth Proportional to 528,164, 728,867.52 and 301,808.96

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Solution

The fourth proportional to 528,164, 728,867.52 and 301,808.96 is: 416,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,164 : 728,867.52 = 301,808.96 : x
  2. Step 2: Convert to fraction form
    528,164/728,867.52 = 301,808.96/x
  3. Step 3: Cross multiply
    528,164x = 728,867.52 × 301,808.96
  4. Step 4: Simplify right side
    528,164x = 219,978,748,188.98
  5. Step 5: Solve for x
    x = 219,978,748,188.98/528,164
  6. Step 6: Final answer
    x = 416,497.05

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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.