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Finding the Fourth Proportional to 540,873.60, 811,540.80 and 260,246.40

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Solution

The fourth proportional to 540,873.60, 811,540.80 and 260,246.40 is: 390,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,873.60 : 811,540.80 = 260,246.40 : x
  2. Step 2: Convert to fraction form
    540,873.60/811,540.80 = 260,246.40/x
  3. Step 3: Cross multiply
    540,873.60x = 811,540.80 × 260,246.40
  4. Step 4: Simplify right side
    540,873.60x = 211,200,571,653.12
  5. Step 5: Solve for x
    x = 211,200,571,653.12/540,873.60
  6. Step 6: Final answer
    x = 390,480.46

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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.