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Finding the Fourth Proportional to 540,419.60, 808,296.60 and 456,438.80

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Solution

The fourth proportional to 540,419.60, 808,296.60 and 456,438.80 is: 682,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,419.60 : 808,296.60 = 456,438.80 : x
  2. Step 2: Convert to fraction form
    540,419.60/808,296.60 = 456,438.80/x
  3. Step 3: Cross multiply
    540,419.60x = 808,296.60 × 456,438.80
  4. Step 4: Simplify right side
    540,419.60x = 368,937,930,148.08
  5. Step 5: Solve for x
    x = 368,937,930,148.08/540,419.60
  6. Step 6: Final answer
    x = 682,687.92

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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.