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Finding the Fourth Proportional to 285,509.50, 428,098.25 and 108,030.20

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Solution

The fourth proportional to 285,509.50, 428,098.25 and 108,030.20 is: 161,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,509.50 : 428,098.25 = 108,030.20 : x
  2. Step 2: Convert to fraction form
    285,509.50/428,098.25 = 108,030.20/x
  3. Step 3: Cross multiply
    285,509.50x = 428,098.25 × 108,030.20
  4. Step 4: Simplify right side
    285,509.50x = 46,247,538,428.13
  5. Step 5: Solve for x
    x = 46,247,538,428.13/285,509.50
  6. Step 6: Final answer
    x = 161,982.49

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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.