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Finding the Fourth Proportional to 420,996.96, 630,951.12 and 314,984.16

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Solution

The fourth proportional to 420,996.96, 630,951.12 and 314,984.16 is: 472,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,996.96 : 630,951.12 = 314,984.16 : x
  2. Step 2: Convert to fraction form
    420,996.96/630,951.12 = 314,984.16/x
  3. Step 3: Cross multiply
    420,996.96x = 630,951.12 × 314,984.16
  4. Step 4: Simplify right side
    420,996.96x = 198,739,608,534.26
  5. Step 5: Solve for x
    x = 198,739,608,534.26/420,996.96
  6. Step 6: Final answer
    x = 472,068.99

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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.