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Finding the Fourth Proportional to 338,431.20, 507,646.80 and 309,400.80

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Solution

The fourth proportional to 338,431.20, 507,646.80 and 309,400.80 is: 464,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,431.20 : 507,646.80 = 309,400.80 : x
  2. Step 2: Convert to fraction form
    338,431.20/507,646.80 = 309,400.80/x
  3. Step 3: Cross multiply
    338,431.20x = 507,646.80 × 309,400.80
  4. Step 4: Simplify right side
    338,431.20x = 157,066,326,037.44
  5. Step 5: Solve for x
    x = 157,066,326,037.44/338,431.20
  6. Step 6: Final answer
    x = 464,101.20

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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.