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Finding the Fourth Proportional to 527,800, 728,410.08 and 289,382.08

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Solution

The fourth proportional to 527,800, 728,410.08 and 289,382.08 is: 399,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,800 : 728,410.08 = 289,382.08 : x
  2. Step 2: Convert to fraction form
    527,800/728,410.08 = 289,382.08/x
  3. Step 3: Cross multiply
    527,800x = 728,410.08 × 289,382.08
  4. Step 4: Simplify right side
    527,800x = 210,788,824,043.37
  5. Step 5: Solve for x
    x = 210,788,824,043.37/527,800
  6. Step 6: Final answer
    x = 399,372.54

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1.5x scale

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.