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Finding the Fourth Proportional to 560,783.29, 773,884.09 and 319,065.86

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Solution

The fourth proportional to 560,783.29, 773,884.09 and 319,065.86 is: 440,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,783.29 : 773,884.09 = 319,065.86 : x
  2. Step 2: Convert to fraction form
    560,783.29/773,884.09 = 319,065.86/x
  3. Step 3: Cross multiply
    560,783.29x = 773,884.09 × 319,065.86
  4. Step 4: Simplify right side
    560,783.29x = 246,919,995,616.24
  5. Step 5: Solve for x
    x = 246,919,995,616.24/560,783.29
  6. Step 6: Final answer
    x = 440,312.68

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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.