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Finding the Fourth Proportional to 546,777.20, 820,165.80 and 458,303.60

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Solution

The fourth proportional to 546,777.20, 820,165.80 and 458,303.60 is: 687,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,777.20 : 820,165.80 = 458,303.60 : x
  2. Step 2: Convert to fraction form
    546,777.20/820,165.80 = 458,303.60/x
  3. Step 3: Cross multiply
    546,777.20x = 820,165.80 × 458,303.60
  4. Step 4: Simplify right side
    546,777.20x = 375,884,938,736.88
  5. Step 5: Solve for x
    x = 375,884,938,736.88/546,777.20
  6. Step 6: Final answer
    x = 687,455.40

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Similar ratio
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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.