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Finding the Fourth Proportional to 653,530.80, 980,356.62 and 254,201.88

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Solution

The fourth proportional to 653,530.80, 980,356.62 and 254,201.88 is: 381,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,530.80 : 980,356.62 = 254,201.88 : x
  2. Step 2: Convert to fraction form
    653,530.80/980,356.62 = 254,201.88/x
  3. Step 3: Cross multiply
    653,530.80x = 980,356.62 × 254,201.88
  4. Step 4: Simplify right side
    653,530.80x = 249,208,495,874.45
  5. Step 5: Solve for x
    x = 249,208,495,874.45/653,530.80
  6. Step 6: Final answer
    x = 381,326.32

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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.