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Finding the Fourth Proportional to 410,155.40, 615,233.10 and 188,539.40

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Solution

The fourth proportional to 410,155.40, 615,233.10 and 188,539.40 is: 282,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,155.40 : 615,233.10 = 188,539.40 : x
  2. Step 2: Convert to fraction form
    410,155.40/615,233.10 = 188,539.40/x
  3. Step 3: Cross multiply
    410,155.40x = 615,233.10 × 188,539.40
  4. Step 4: Simplify right side
    410,155.40x = 115,995,679,534.14
  5. Step 5: Solve for x
    x = 115,995,679,534.14/410,155.40
  6. Step 6: Final answer
    x = 282,809.10

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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.