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Finding the Fourth Proportional to 546,687.60, 820,031.40 and 422,271.60

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Solution

The fourth proportional to 546,687.60, 820,031.40 and 422,271.60 is: 633,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,687.60 : 820,031.40 = 422,271.60 : x
  2. Step 2: Convert to fraction form
    546,687.60/820,031.40 = 422,271.60/x
  3. Step 3: Cross multiply
    546,687.60x = 820,031.40 × 422,271.60
  4. Step 4: Simplify right side
    546,687.60x = 346,275,971,328.24
  5. Step 5: Solve for x
    x = 346,275,971,328.24/546,687.60
  6. Step 6: Final answer
    x = 633,407.40

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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.