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Finding the Fourth Proportional to 420,865.38, 631,549.62 and 154,652.82

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Solution

The fourth proportional to 420,865.38, 631,549.62 and 154,652.82 is: 232,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,865.38 : 631,549.62 = 154,652.82 : x
  2. Step 2: Convert to fraction form
    420,865.38/631,549.62 = 154,652.82/x
  3. Step 3: Cross multiply
    420,865.38x = 631,549.62 × 154,652.82
  4. Step 4: Simplify right side
    420,865.38x = 97,670,929,702.93
  5. Step 5: Solve for x
    x = 97,670,929,702.93/420,865.38
  6. Step 6: Final answer
    x = 232,071.67

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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.