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Finding the Fourth Proportional to 504,986.84, 758,489.10 and 315,783.80

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Solution

The fourth proportional to 504,986.84, 758,489.10 and 315,783.80 is: 474,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,986.84 : 758,489.10 = 315,783.80 : x
  2. Step 2: Convert to fraction form
    504,986.84/758,489.10 = 315,783.80/x
  3. Step 3: Cross multiply
    504,986.84x = 758,489.10 × 315,783.80
  4. Step 4: Simplify right side
    504,986.84x = 239,518,570,256.58
  5. Step 5: Solve for x
    x = 239,518,570,256.58/504,986.84
  6. Step 6: Final answer
    x = 474,306.56

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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.