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Finding the Fourth Proportional to 653,705.40, 980,906.40 and 254,359.20

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Solution

The fourth proportional to 653,705.40, 980,906.40 and 254,359.20 is: 381,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,705.40 : 980,906.40 = 254,359.20 : x
  2. Step 2: Convert to fraction form
    653,705.40/980,906.40 = 254,359.20/x
  3. Step 3: Cross multiply
    653,705.40x = 980,906.40 × 254,359.20
  4. Step 4: Simplify right side
    653,705.40x = 249,502,567,178.88
  5. Step 5: Solve for x
    x = 249,502,567,178.88/653,705.40
  6. Step 6: Final answer
    x = 381,674.32

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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.