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Finding the Fourth Proportional to 409,454.40, 613,598.40 and 301,999.80

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Solution

The fourth proportional to 409,454.40, 613,598.40 and 301,999.80 is: 452,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,454.40 : 613,598.40 = 301,999.80 : x
  2. Step 2: Convert to fraction form
    409,454.40/613,598.40 = 301,999.80/x
  3. Step 3: Cross multiply
    409,454.40x = 613,598.40 × 301,999.80
  4. Step 4: Simplify right side
    409,454.40x = 185,306,594,080.32
  5. Step 5: Solve for x
    x = 185,306,594,080.32/409,454.40
  6. Step 6: Final answer
    x = 452,569.55

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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.