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Finding the Fourth Proportional to 485,911.64, 728,952.96 and 165,988.28

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Solution

The fourth proportional to 485,911.64, 728,952.96 and 165,988.28 is: 249,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,911.64 : 728,952.96 = 165,988.28 : x
  2. Step 2: Convert to fraction form
    485,911.64/728,952.96 = 165,988.28/x
  3. Step 3: Cross multiply
    485,911.64x = 728,952.96 × 165,988.28
  4. Step 4: Simplify right side
    485,911.64x = 120,997,648,031.31
  5. Step 5: Solve for x
    x = 120,997,648,031.31/485,911.64
  6. Step 6: Final answer
    x = 249,011.63

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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.