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Finding the Fourth Proportional to 405,904.80, 560,083.20 and 254,894.88

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Solution

The fourth proportional to 405,904.80, 560,083.20 and 254,894.88 is: 351,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,904.80 : 560,083.20 = 254,894.88 : x
  2. Step 2: Convert to fraction form
    405,904.80/560,083.20 = 254,894.88/x
  3. Step 3: Cross multiply
    405,904.80x = 560,083.20 × 254,894.88
  4. Step 4: Simplify right side
    405,904.80x = 142,762,340,054.02
  5. Step 5: Solve for x
    x = 142,762,340,054.02/405,904.80
  6. Step 6: Final answer
    x = 351,713.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.