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Finding the Fourth Proportional to 407,476.80, 611,215.20 and 370,735.20

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Solution

The fourth proportional to 407,476.80, 611,215.20 and 370,735.20 is: 556,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,476.80 : 611,215.20 = 370,735.20 : x
  2. Step 2: Convert to fraction form
    407,476.80/611,215.20 = 370,735.20/x
  3. Step 3: Cross multiply
    407,476.80x = 611,215.20 × 370,735.20
  4. Step 4: Simplify right side
    407,476.80x = 226,598,989,415.04
  5. Step 5: Solve for x
    x = 226,598,989,415.04/407,476.80
  6. Step 6: Final answer
    x = 556,102.80

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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.