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Finding the Fourth Proportional to 509,495.56, 703,048 and 294,603.08

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Solution

The fourth proportional to 509,495.56, 703,048 and 294,603.08 is: 406,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,495.56 : 703,048 = 294,603.08 : x
  2. Step 2: Convert to fraction form
    509,495.56/703,048 = 294,603.08/x
  3. Step 3: Cross multiply
    509,495.56x = 703,048 × 294,603.08
  4. Step 4: Simplify right side
    509,495.56x = 207,120,106,187.84
  5. Step 5: Solve for x
    x = 207,120,106,187.84/509,495.56
  6. Step 6: Final answer
    x = 406,519.94

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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.