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Finding the Fourth Proportional to 527,802, 728,412.84 and 289,384.08

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Solution

The fourth proportional to 527,802, 728,412.84 and 289,384.08 is: 399,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,802 : 728,412.84 = 289,384.08 : x
  2. Step 2: Convert to fraction form
    527,802/728,412.84 = 289,384.08/x
  3. Step 3: Cross multiply
    527,802x = 728,412.84 × 289,384.08
  4. Step 4: Simplify right side
    527,802x = 210,791,079,563.59
  5. Step 5: Solve for x
    x = 210,791,079,563.59/527,802
  6. Step 6: Final answer
    x = 399,375.30

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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.