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Finding the Fourth Proportional to 559,834, 772,846.72 and 387,882.36

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Solution

The fourth proportional to 559,834, 772,846.72 and 387,882.36 is: 535,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,834 : 772,846.72 = 387,882.36 : x
  2. Step 2: Convert to fraction form
    559,834/772,846.72 = 387,882.36/x
  3. Step 3: Cross multiply
    559,834x = 772,846.72 × 387,882.36
  4. Step 4: Simplify right side
    559,834x = 299,773,609,671.86
  5. Step 5: Solve for x
    x = 299,773,609,671.86/559,834
  6. Step 6: Final answer
    x = 535,468.75

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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.