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Finding the Fourth Proportional to 517,497, 776,245.50 and 143,520

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Solution

The fourth proportional to 517,497, 776,245.50 and 143,520 is: 215,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,497 : 776,245.50 = 143,520 : x
  2. Step 2: Convert to fraction form
    517,497/776,245.50 = 143,520/x
  3. Step 3: Cross multiply
    517,497x = 776,245.50 × 143,520
  4. Step 4: Simplify right side
    517,497x = 111,406,754,160
  5. Step 5: Solve for x
    x = 111,406,754,160/517,497
  6. Step 6: Final answer
    x = 215,280

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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.