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Finding the Fourth Proportional to 413,999.60, 620,999.40 and 288,028.40

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Solution

The fourth proportional to 413,999.60, 620,999.40 and 288,028.40 is: 432,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.60 : 620,999.40 = 288,028.40 : x
  2. Step 2: Convert to fraction form
    413,999.60/620,999.40 = 288,028.40/x
  3. Step 3: Cross multiply
    413,999.60x = 620,999.40 × 288,028.40
  4. Step 4: Simplify right side
    413,999.60x = 178,865,463,582.96
  5. Step 5: Solve for x
    x = 178,865,463,582.96/413,999.60
  6. Step 6: Final answer
    x = 432,042.60

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1.5x scale

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.