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Finding the Fourth Proportional to 312,457, 468,765.42 and 90,841

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Solution

The fourth proportional to 312,457, 468,765.42 and 90,841 is: 136,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,457 : 468,765.42 = 90,841 : x
  2. Step 2: Convert to fraction form
    312,457/468,765.42 = 90,841/x
  3. Step 3: Cross multiply
    312,457x = 468,765.42 × 90,841
  4. Step 4: Simplify right side
    312,457x = 42,583,119,518.22
  5. Step 5: Solve for x
    x = 42,583,119,518.22/312,457
  6. Step 6: Final answer
    x = 136,284.74

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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.