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Finding the Fourth Proportional to 285,639.30, 428,496.21 and 105,700.23

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Solution

The fourth proportional to 285,639.30, 428,496.21 and 105,700.23 is: 158,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,639.30 : 428,496.21 = 105,700.23 : x
  2. Step 2: Convert to fraction form
    285,639.30/428,496.21 = 105,700.23/x
  3. Step 3: Cross multiply
    285,639.30x = 428,496.21 × 105,700.23
  4. Step 4: Simplify right side
    285,639.30x = 45,292,147,951.13
  5. Step 5: Solve for x
    x = 45,292,147,951.13/285,639.30
  6. Step 6: Final answer
    x = 158,564.13

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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.