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Finding the Fourth Proportional to 505,263.84, 757,237.59 and 205,394.13

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Solution

The fourth proportional to 505,263.84, 757,237.59 and 205,394.13 is: 307,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,263.84 : 757,237.59 = 205,394.13 : x
  2. Step 2: Convert to fraction form
    505,263.84/757,237.59 = 205,394.13/x
  3. Step 3: Cross multiply
    505,263.84x = 757,237.59 × 205,394.13
  4. Step 4: Simplify right side
    505,263.84x = 155,532,156,001.35
  5. Step 5: Solve for x
    x = 155,532,156,001.35/505,263.84
  6. Step 6: Final answer
    x = 307,823.64

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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.