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Finding the Fourth Proportional to 338,431.20, 507,646.80 and 317,695.20

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Solution

The fourth proportional to 338,431.20, 507,646.80 and 317,695.20 is: 476,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,431.20 : 507,646.80 = 317,695.20 : x
  2. Step 2: Convert to fraction form
    338,431.20/507,646.80 = 317,695.20/x
  3. Step 3: Cross multiply
    338,431.20x = 507,646.80 × 317,695.20
  4. Step 4: Simplify right side
    338,431.20x = 161,276,951,655.36
  5. Step 5: Solve for x
    x = 161,276,951,655.36/338,431.20
  6. Step 6: Final answer
    x = 476,542.80

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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.