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Finding the Fourth Proportional to 527,798, 728,407.32 and 289,380.08

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Solution

The fourth proportional to 527,798, 728,407.32 and 289,380.08 is: 399,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,798 : 728,407.32 = 289,380.08 : x
  2. Step 2: Convert to fraction form
    527,798/728,407.32 = 289,380.08/x
  3. Step 3: Cross multiply
    527,798x = 728,407.32 × 289,380.08
  4. Step 4: Simplify right side
    527,798x = 210,786,568,534.19
  5. Step 5: Solve for x
    x = 210,786,568,534.19/527,798
  6. Step 6: Final answer
    x = 399,369.78

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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.