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Finding the Fourth Proportional to 520,100.40, 780,150.60 and 415,124.40

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Solution

The fourth proportional to 520,100.40, 780,150.60 and 415,124.40 is: 622,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,100.40 : 780,150.60 = 415,124.40 : x
  2. Step 2: Convert to fraction form
    520,100.40/780,150.60 = 415,124.40/x
  3. Step 3: Cross multiply
    520,100.40x = 780,150.60 × 415,124.40
  4. Step 4: Simplify right side
    520,100.40x = 323,859,549,734.64
  5. Step 5: Solve for x
    x = 323,859,549,734.64/520,100.40
  6. Step 6: Final answer
    x = 622,686.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.