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Finding the Fourth Proportional to 699,829.84, 965,267.64 and 467,139.40

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Solution

The fourth proportional to 699,829.84, 965,267.64 and 467,139.40 is: 644,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,829.84 : 965,267.64 = 467,139.40 : x
  2. Step 2: Convert to fraction form
    699,829.84/965,267.64 = 467,139.40/x
  3. Step 3: Cross multiply
    699,829.84x = 965,267.64 × 467,139.40
  4. Step 4: Simplify right side
    699,829.84x = 450,914,546,189.02
  5. Step 5: Solve for x
    x = 450,914,546,189.02/699,829.84
  6. Step 6: Final answer
    x = 644,320.26

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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.