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Finding the Fourth Proportional to 312,175, 468,340.26 and 90,559

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Solution

The fourth proportional to 312,175, 468,340.26 and 90,559 is: 135,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175 : 468,340.26 = 90,559 : x
  2. Step 2: Convert to fraction form
    312,175/468,340.26 = 90,559/x
  3. Step 3: Cross multiply
    312,175x = 468,340.26 × 90,559
  4. Step 4: Simplify right side
    312,175x = 42,412,425,605.34
  5. Step 5: Solve for x
    x = 42,412,425,605.34/312,175
  6. Step 6: Final answer
    x = 135,861.06

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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.