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Finding the Fourth Proportional to 407,435.80, 611,007.30 and 141,124.60

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Solution

The fourth proportional to 407,435.80, 611,007.30 and 141,124.60 is: 211,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,435.80 : 611,007.30 = 141,124.60 : x
  2. Step 2: Convert to fraction form
    407,435.80/611,007.30 = 141,124.60/x
  3. Step 3: Cross multiply
    407,435.80x = 611,007.30 × 141,124.60
  4. Step 4: Simplify right side
    407,435.80x = 86,228,160,809.58
  5. Step 5: Solve for x
    x = 86,228,160,809.58/407,435.80
  6. Step 6: Final answer
    x = 211,636.19

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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.