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Finding the Fourth Proportional to 513,064.49, 769,721.30 and 158,078.50

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Solution

The fourth proportional to 513,064.49, 769,721.30 and 158,078.50 is: 237,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,064.49 : 769,721.30 = 158,078.50 : x
  2. Step 2: Convert to fraction form
    513,064.49/769,721.30 = 158,078.50/x
  3. Step 3: Cross multiply
    513,064.49x = 769,721.30 × 158,078.50
  4. Step 4: Simplify right side
    513,064.49x = 121,676,388,522.05
  5. Step 5: Solve for x
    x = 121,676,388,522.05/513,064.49
  6. Step 6: Final answer
    x = 237,156.13

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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.