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Finding the Fourth Proportional to 410,105.40, 615,158.10 and 370,739.40

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Solution

The fourth proportional to 410,105.40, 615,158.10 and 370,739.40 is: 556,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,105.40 : 615,158.10 = 370,739.40 : x
  2. Step 2: Convert to fraction form
    410,105.40/615,158.10 = 370,739.40/x
  3. Step 3: Cross multiply
    410,105.40x = 615,158.10 × 370,739.40
  4. Step 4: Simplify right side
    410,105.40x = 228,063,344,899.14
  5. Step 5: Solve for x
    x = 228,063,344,899.14/410,105.40
  6. Step 6: Final answer
    x = 556,109.10

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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.