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Finding the Fourth Proportional to 520,588.01, 780,601.86 and 280,830.65

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Solution

The fourth proportional to 520,588.01, 780,601.86 and 280,830.65 is: 421,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,588.01 : 780,601.86 = 280,830.65 : x
  2. Step 2: Convert to fraction form
    520,588.01/780,601.86 = 280,830.65/x
  3. Step 3: Cross multiply
    520,588.01x = 780,601.86 × 280,830.65
  4. Step 4: Simplify right side
    520,588.01x = 219,216,923,832.00
  5. Step 5: Solve for x
    x = 219,216,923,832.00/520,588.01
  6. Step 6: Final answer
    x = 421,094.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.