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Finding the Fourth Proportional to 312,484.73, 468,749.17 and 154,670.81

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Solution

The fourth proportional to 312,484.73, 468,749.17 and 154,670.81 is: 232,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,484.73 : 468,749.17 = 154,670.81 : x
  2. Step 2: Convert to fraction form
    312,484.73/468,749.17 = 154,670.81/x
  3. Step 3: Cross multiply
    312,484.73x = 468,749.17 × 154,670.81
  4. Step 4: Simplify right side
    312,484.73x = 72,501,813,810.73
  5. Step 5: Solve for x
    x = 72,501,813,810.73/312,484.73
  6. Step 6: Final answer
    x = 232,017.14

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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.