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Finding the Fourth Proportional to 458,727.60, 686,730.60 and 340,921.20

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Solution

The fourth proportional to 458,727.60, 686,730.60 and 340,921.20 is: 510,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,727.60 : 686,730.60 = 340,921.20 : x
  2. Step 2: Convert to fraction form
    458,727.60/686,730.60 = 340,921.20/x
  3. Step 3: Cross multiply
    458,727.60x = 686,730.60 × 340,921.20
  4. Step 4: Simplify right side
    458,727.60x = 234,121,020,228.72
  5. Step 5: Solve for x
    x = 234,121,020,228.72/458,727.60
  6. Step 6: Final answer
    x = 510,370.47

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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.