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Finding the Fourth Proportional to 420,670.56, 631,316.88 and 154,596

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Solution

The fourth proportional to 420,670.56, 631,316.88 and 154,596 is: 232,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,670.56 : 631,316.88 = 154,596 : x
  2. Step 2: Convert to fraction form
    420,670.56/631,316.88 = 154,596/x
  3. Step 3: Cross multiply
    420,670.56x = 631,316.88 × 154,596
  4. Step 4: Simplify right side
    420,670.56x = 97,599,064,380.48
  5. Step 5: Solve for x
    x = 97,599,064,380.48/420,670.56
  6. Step 6: Final answer
    x = 232,008.31

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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.