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Finding the Fourth Proportional to 610,420.40, 914,982.60 and 294,671.60

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Solution

The fourth proportional to 610,420.40, 914,982.60 and 294,671.60 is: 441,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,420.40 : 914,982.60 = 294,671.60 : x
  2. Step 2: Convert to fraction form
    610,420.40/914,982.60 = 294,671.60/x
  3. Step 3: Cross multiply
    610,420.40x = 914,982.60 × 294,671.60
  4. Step 4: Simplify right side
    610,420.40x = 269,619,386,714.16
  5. Step 5: Solve for x
    x = 269,619,386,714.16/610,420.40
  6. Step 6: Final answer
    x = 441,694.59

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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.