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Finding the Fourth Proportional to 420,653.99, 630,982.61 and 105,111.20

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Solution

The fourth proportional to 420,653.99, 630,982.61 and 105,111.20 is: 157,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,653.99 : 630,982.61 = 105,111.20 : x
  2. Step 2: Convert to fraction form
    420,653.99/630,982.61 = 105,111.20/x
  3. Step 3: Cross multiply
    420,653.99x = 630,982.61 × 105,111.20
  4. Step 4: Simplify right side
    420,653.99x = 66,323,339,316.23
  5. Step 5: Solve for x
    x = 66,323,339,316.23/420,653.99
  6. Step 6: Final answer
    x = 157,667.21

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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.