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Finding the Fourth Proportional to 560,599.40, 840,399.12 and 205,530.68

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Solution

The fourth proportional to 560,599.40, 840,399.12 and 205,530.68 is: 308,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,599.40 : 840,399.12 = 205,530.68 : x
  2. Step 2: Convert to fraction form
    560,599.40/840,399.12 = 205,530.68/x
  3. Step 3: Cross multiply
    560,599.40x = 840,399.12 × 205,530.68
  4. Step 4: Simplify right side
    560,599.40x = 172,727,802,605.00
  5. Step 5: Solve for x
    x = 172,727,802,605.00/560,599.40
  6. Step 6: Final answer
    x = 308,112.71

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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.