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Finding the Fourth Proportional to 413,188.60, 618,908.10 and 360,700.60

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Solution

The fourth proportional to 413,188.60, 618,908.10 and 360,700.60 is: 540,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,188.60 : 618,908.10 = 360,700.60 : x
  2. Step 2: Convert to fraction form
    413,188.60/618,908.10 = 360,700.60/x
  3. Step 3: Cross multiply
    413,188.60x = 618,908.10 × 360,700.60
  4. Step 4: Simplify right side
    413,188.60x = 223,240,523,014.86
  5. Step 5: Solve for x
    x = 223,240,523,014.86/413,188.60
  6. Step 6: Final answer
    x = 540,287.23

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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.