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Finding the Fourth Proportional to 559,478.34, 772,069.32 and 304,824.06

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Solution

The fourth proportional to 559,478.34, 772,069.32 and 304,824.06 is: 420,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,478.34 : 772,069.32 = 304,824.06 : x
  2. Step 2: Convert to fraction form
    559,478.34/772,069.32 = 304,824.06/x
  3. Step 3: Cross multiply
    559,478.34x = 772,069.32 × 304,824.06
  4. Step 4: Simplify right side
    559,478.34x = 235,345,304,723.84
  5. Step 5: Solve for x
    x = 235,345,304,723.84/559,478.34
  6. Step 6: Final answer
    x = 420,651.32

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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.