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Finding the Fourth Proportional to 709,614, 979,307.28 and 407,827.44

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Solution

The fourth proportional to 709,614, 979,307.28 and 407,827.44 is: 562,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,614 : 979,307.28 = 407,827.44 : x
  2. Step 2: Convert to fraction form
    709,614/979,307.28 = 407,827.44/x
  3. Step 3: Cross multiply
    709,614x = 979,307.28 × 407,827.44
  4. Step 4: Simplify right side
    709,614x = 399,388,380,975.76
  5. Step 5: Solve for x
    x = 399,388,380,975.76/709,614
  6. Step 6: Final answer
    x = 562,824.83

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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.