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Finding the Fourth Proportional to 553,614, 763,987.32 and 298,965.20

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Solution

The fourth proportional to 553,614, 763,987.32 and 298,965.20 is: 412,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,614 : 763,987.32 = 298,965.20 : x
  2. Step 2: Convert to fraction form
    553,614/763,987.32 = 298,965.20/x
  3. Step 3: Cross multiply
    553,614x = 763,987.32 × 298,965.20
  4. Step 4: Simplify right side
    553,614x = 228,405,621,921.26
  5. Step 5: Solve for x
    x = 228,405,621,921.26/553,614
  6. Step 6: Final answer
    x = 412,571.98

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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.