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Finding the Fourth Proportional to 540,122.60, 807,851.10 and 456,141.80

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Solution

The fourth proportional to 540,122.60, 807,851.10 and 456,141.80 is: 682,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,122.60 : 807,851.10 = 456,141.80 : x
  2. Step 2: Convert to fraction form
    540,122.60/807,851.10 = 456,141.80/x
  3. Step 3: Cross multiply
    540,122.60x = 807,851.10 × 456,141.80
  4. Step 4: Simplify right side
    540,122.60x = 368,494,654,885.98
  5. Step 5: Solve for x
    x = 368,494,654,885.98/540,122.60
  6. Step 6: Final answer
    x = 682,242.61

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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.