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Finding the Fourth Proportional to 527,796, 728,404.56 and 289,378.08

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Solution

The fourth proportional to 527,796, 728,404.56 and 289,378.08 is: 399,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,796 : 728,404.56 = 289,378.08 : x
  2. Step 2: Convert to fraction form
    527,796/728,404.56 = 289,378.08/x
  3. Step 3: Cross multiply
    527,796x = 728,404.56 × 289,378.08
  4. Step 4: Simplify right side
    527,796x = 210,784,313,036.05
  5. Step 5: Solve for x
    x = 210,784,313,036.05/527,796
  6. Step 6: Final answer
    x = 399,367.01

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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.