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Finding the Fourth Proportional to 559,282.32, 771,821.46 and 304,632.90

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Solution

The fourth proportional to 559,282.32, 771,821.46 and 304,632.90 is: 420,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,282.32 : 771,821.46 = 304,632.90 : x
  2. Step 2: Convert to fraction form
    559,282.32/771,821.46 = 304,632.90/x
  3. Step 3: Cross multiply
    559,282.32x = 771,821.46 × 304,632.90
  4. Step 4: Simplify right side
    559,282.32x = 235,122,209,642.03
  5. Step 5: Solve for x
    x = 235,122,209,642.03/559,282.32
  6. Step 6: Final answer
    x = 420,399.86

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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.