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Finding the Fourth Proportional to 338,462.40, 507,693.60 and 85,742.40

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Solution

The fourth proportional to 338,462.40, 507,693.60 and 85,742.40 is: 128,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,462.40 : 507,693.60 = 85,742.40 : x
  2. Step 2: Convert to fraction form
    338,462.40/507,693.60 = 85,742.40/x
  3. Step 3: Cross multiply
    338,462.40x = 507,693.60 × 85,742.40
  4. Step 4: Simplify right side
    338,462.40x = 43,530,867,728.64
  5. Step 5: Solve for x
    x = 43,530,867,728.64/338,462.40
  6. Step 6: Final answer
    x = 128,613.60

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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.