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Finding the Fourth Proportional to 420,564.16, 630,843 and 105,018.96

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Solution

The fourth proportional to 420,564.16, 630,843 and 105,018.96 is: 157,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,564.16 : 630,843 = 105,018.96 : x
  2. Step 2: Convert to fraction form
    420,564.16/630,843 = 105,018.96/x
  3. Step 3: Cross multiply
    420,564.16x = 630,843 × 105,018.96
  4. Step 4: Simplify right side
    420,564.16x = 66,250,475,783.28
  5. Step 5: Solve for x
    x = 66,250,475,783.28/420,564.16
  6. Step 6: Final answer
    x = 157,527.63

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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.