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Finding the Fourth Proportional to 338,200.20, 507,358.80 and 113,582.40

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Solution

The fourth proportional to 338,200.20, 507,358.80 and 113,582.40 is: 170,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,200.20 : 507,358.80 = 113,582.40 : x
  2. Step 2: Convert to fraction form
    338,200.20/507,358.80 = 113,582.40/x
  3. Step 3: Cross multiply
    338,200.20x = 507,358.80 × 113,582.40
  4. Step 4: Simplify right side
    338,200.20x = 57,627,030,165.12
  5. Step 5: Solve for x
    x = 57,627,030,165.12/338,200.20
  6. Step 6: Final answer
    x = 170,393.25

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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.