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Finding the Fourth Proportional to 410,545, 615,852.06 and 115,057

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Solution

The fourth proportional to 410,545, 615,852.06 and 115,057 is: 172,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,545 : 615,852.06 = 115,057 : x
  2. Step 2: Convert to fraction form
    410,545/615,852.06 = 115,057/x
  3. Step 3: Cross multiply
    410,545x = 615,852.06 × 115,057
  4. Step 4: Simplify right side
    410,545x = 70,858,090,467.42
  5. Step 5: Solve for x
    x = 70,858,090,467.42/410,545
  6. Step 6: Final answer
    x = 172,595.19

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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.