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Finding the Fourth Proportional to 540,116.60, 807,842.10 and 456,135.80

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Solution

The fourth proportional to 540,116.60, 807,842.10 and 456,135.80 is: 682,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,116.60 : 807,842.10 = 456,135.80 : x
  2. Step 2: Convert to fraction form
    540,116.60/807,842.10 = 456,135.80/x
  3. Step 3: Cross multiply
    540,116.60x = 807,842.10 × 456,135.80
  4. Step 4: Simplify right side
    540,116.60x = 368,485,702,557.18
  5. Step 5: Solve for x
    x = 368,485,702,557.18/540,116.60
  6. Step 6: Final answer
    x = 682,233.62

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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.