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Finding the Fourth Proportional to 454,089.60, 680,212.80 and 256,867.20

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Solution

The fourth proportional to 454,089.60, 680,212.80 and 256,867.20 is: 384,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,089.60 : 680,212.80 = 256,867.20 : x
  2. Step 2: Convert to fraction form
    454,089.60/680,212.80 = 256,867.20/x
  3. Step 3: Cross multiply
    454,089.60x = 680,212.80 × 256,867.20
  4. Step 4: Simplify right side
    454,089.60x = 174,724,357,340.16
  5. Step 5: Solve for x
    x = 174,724,357,340.16/454,089.60
  6. Step 6: Final answer
    x = 384,779.47

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1.5x scale

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.