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Finding the Fourth Proportional to 546,421.60, 820,246.80 and 422,312.80

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Solution

The fourth proportional to 546,421.60, 820,246.80 and 422,312.80 is: 633,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,421.60 : 820,246.80 = 422,312.80 : x
  2. Step 2: Convert to fraction form
    546,421.60/820,246.80 = 422,312.80/x
  3. Step 3: Cross multiply
    546,421.60x = 820,246.80 × 422,312.80
  4. Step 4: Simplify right side
    546,421.60x = 346,400,722,799.04
  5. Step 5: Solve for x
    x = 346,400,722,799.04/546,421.60
  6. Step 6: Final answer
    x = 633,944.05

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1.5x scale

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.