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Finding the Fourth Proportional to 505,271.86, 697,392.40 and 333,220.88

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Solution

The fourth proportional to 505,271.86, 697,392.40 and 333,220.88 is: 459,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,271.86 : 697,392.40 = 333,220.88 : x
  2. Step 2: Convert to fraction form
    505,271.86/697,392.40 = 333,220.88/x
  3. Step 3: Cross multiply
    505,271.86x = 697,392.40 × 333,220.88
  4. Step 4: Simplify right side
    505,271.86x = 232,385,709,233.31
  5. Step 5: Solve for x
    x = 232,385,709,233.31/505,271.86
  6. Step 6: Final answer
    x = 459,922.13

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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.