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Finding the Fourth Proportional to 338,984.40, 508,460.40 and 114,322.80

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Solution

The fourth proportional to 338,984.40, 508,460.40 and 114,322.80 is: 171,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,984.40 : 508,460.40 = 114,322.80 : x
  2. Step 2: Convert to fraction form
    338,984.40/508,460.40 = 114,322.80/x
  3. Step 3: Cross multiply
    338,984.40x = 508,460.40 × 114,322.80
  4. Step 4: Simplify right side
    338,984.40x = 58,128,616,617.12
  5. Step 5: Solve for x
    x = 58,128,616,617.12/338,984.40
  6. Step 6: Final answer
    x = 171,478.74

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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.