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Finding the Fourth Proportional to 256,594.57, 384,780.48 and 98,712.20

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Solution

The fourth proportional to 256,594.57, 384,780.48 and 98,712.20 is: 148,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,594.57 : 384,780.48 = 98,712.20 : x
  2. Step 2: Convert to fraction form
    256,594.57/384,780.48 = 98,712.20/x
  3. Step 3: Cross multiply
    256,594.57x = 384,780.48 × 98,712.20
  4. Step 4: Simplify right side
    256,594.57x = 37,982,528,289.64
  5. Step 5: Solve for x
    x = 37,982,528,289.64/256,594.57
  6. Step 6: Final answer
    x = 148,025.46

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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.