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Finding the Fourth Proportional to 351,809, 527,713.50 and 154,817

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Solution

The fourth proportional to 351,809, 527,713.50 and 154,817 is: 232,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,809 : 527,713.50 = 154,817 : x
  2. Step 2: Convert to fraction form
    351,809/527,713.50 = 154,817/x
  3. Step 3: Cross multiply
    351,809x = 527,713.50 × 154,817
  4. Step 4: Simplify right side
    351,809x = 81,699,020,929.50
  5. Step 5: Solve for x
    x = 81,699,020,929.50/351,809
  6. Step 6: Final answer
    x = 232,225.50

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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.