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Finding the Fourth Proportional to 364,276.80, 546,415.20 and 257,988.60

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Solution

The fourth proportional to 364,276.80, 546,415.20 and 257,988.60 is: 386,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,276.80 : 546,415.20 = 257,988.60 : x
  2. Step 2: Convert to fraction form
    364,276.80/546,415.20 = 257,988.60/x
  3. Step 3: Cross multiply
    364,276.80x = 546,415.20 × 257,988.60
  4. Step 4: Simplify right side
    364,276.80x = 140,968,892,466.72
  5. Step 5: Solve for x
    x = 140,968,892,466.72/364,276.80
  6. Step 6: Final answer
    x = 386,982.90

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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.