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Finding the Fourth Proportional to 527,644, 728,194.80 and 289,226.08

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Solution

The fourth proportional to 527,644, 728,194.80 and 289,226.08 is: 399,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,644 : 728,194.80 = 289,226.08 : x
  2. Step 2: Convert to fraction form
    527,644/728,194.80 = 289,226.08/x
  3. Step 3: Cross multiply
    527,644x = 728,194.80 × 289,226.08
  4. Step 4: Simplify right side
    527,644x = 210,612,927,480.38
  5. Step 5: Solve for x
    x = 210,612,927,480.38/527,644
  6. Step 6: Final answer
    x = 399,157.25

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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.