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Finding the Fourth Proportional to 540,400.60, 808,268.10 and 456,419.80

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Solution

The fourth proportional to 540,400.60, 808,268.10 and 456,419.80 is: 682,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,400.60 : 808,268.10 = 456,419.80 : x
  2. Step 2: Convert to fraction form
    540,400.60/808,268.10 = 456,419.80/x
  3. Step 3: Cross multiply
    540,400.60x = 808,268.10 × 456,419.80
  4. Step 4: Simplify right side
    540,400.60x = 368,909,564,548.38
  5. Step 5: Solve for x
    x = 368,909,564,548.38/540,400.60
  6. Step 6: Final answer
    x = 682,659.43

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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.