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Finding the Fourth Proportional to 458,725.60, 686,727.60 and 340,919.20

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Solution

The fourth proportional to 458,725.60, 686,727.60 and 340,919.20 is: 510,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,725.60 : 686,727.60 = 340,919.20 : x
  2. Step 2: Convert to fraction form
    458,725.60/686,727.60 = 340,919.20/x
  3. Step 3: Cross multiply
    458,725.60x = 686,727.60 × 340,919.20
  4. Step 4: Simplify right side
    458,725.60x = 234,118,624,009.92
  5. Step 5: Solve for x
    x = 234,118,624,009.92/458,725.60
  6. Step 6: Final answer
    x = 510,367.47

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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.