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Finding the Fourth Proportional to 420,792.32, 631,270.80 and 154,554.84

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Solution

The fourth proportional to 420,792.32, 631,270.80 and 154,554.84 is: 231,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,792.32 : 631,270.80 = 154,554.84 : x
  2. Step 2: Convert to fraction form
    420,792.32/631,270.80 = 154,554.84/x
  3. Step 3: Cross multiply
    420,792.32x = 631,270.80 × 154,554.84
  4. Step 4: Simplify right side
    420,792.32x = 97,565,957,490.67
  5. Step 5: Solve for x
    x = 97,565,957,490.67/420,792.32
  6. Step 6: Final answer
    x = 231,862.49

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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.