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Finding the Fourth Proportional to 420,010.60, 630,015.90 and 315,034.60

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Solution

The fourth proportional to 420,010.60, 630,015.90 and 315,034.60 is: 472,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,010.60 : 630,015.90 = 315,034.60 : x
  2. Step 2: Convert to fraction form
    420,010.60/630,015.90 = 315,034.60/x
  3. Step 3: Cross multiply
    420,010.60x = 630,015.90 × 315,034.60
  4. Step 4: Simplify right side
    420,010.60x = 198,476,807,050.14
  5. Step 5: Solve for x
    x = 198,476,807,050.14/420,010.60
  6. Step 6: Final answer
    x = 472,551.90

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1.5x scale

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.