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Finding the Fourth Proportional to 546,968.16, 820,350.72 and 440,971.20

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Solution

The fourth proportional to 546,968.16, 820,350.72 and 440,971.20 is: 661,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,968.16 : 820,350.72 = 440,971.20 : x
  2. Step 2: Convert to fraction form
    546,968.16/820,350.72 = 440,971.20/x
  3. Step 3: Cross multiply
    546,968.16x = 820,350.72 × 440,971.20
  4. Step 4: Simplify right side
    546,968.16x = 361,751,041,419.26
  5. Step 5: Solve for x
    x = 361,751,041,419.26/546,968.16
  6. Step 6: Final answer
    x = 661,374.95

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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.