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Finding the Fourth Proportional to 256,565.60, 384,685.38 and 225,038.96

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Solution

The fourth proportional to 256,565.60, 384,685.38 and 225,038.96 is: 337,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,565.60 : 384,685.38 = 225,038.96 : x
  2. Step 2: Convert to fraction form
    256,565.60/384,685.38 = 225,038.96/x
  3. Step 3: Cross multiply
    256,565.60x = 384,685.38 × 225,038.96
  4. Step 4: Simplify right side
    256,565.60x = 86,569,197,842.40
  5. Step 5: Solve for x
    x = 86,569,197,842.40/256,565.60
  6. Step 6: Final answer
    x = 337,415.45

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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.