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Finding the Fourth Proportional to 523,915.20, 786,218.40 and 191,491.20

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Solution

The fourth proportional to 523,915.20, 786,218.40 and 191,491.20 is: 287,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,915.20 : 786,218.40 = 191,491.20 : x
  2. Step 2: Convert to fraction form
    523,915.20/786,218.40 = 191,491.20/x
  3. Step 3: Cross multiply
    523,915.20x = 786,218.40 × 191,491.20
  4. Step 4: Simplify right side
    523,915.20x = 150,553,904,878.08
  5. Step 5: Solve for x
    x = 150,553,904,878.08/523,915.20
  6. Step 6: Final answer
    x = 287,363.12

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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.