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Finding the Fourth Proportional to 281,224.80, 421,345.14 and 234,142.47

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Solution

The fourth proportional to 281,224.80, 421,345.14 and 234,142.47 is: 350,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,224.80 : 421,345.14 = 234,142.47 : x
  2. Step 2: Convert to fraction form
    281,224.80/421,345.14 = 234,142.47/x
  3. Step 3: Cross multiply
    281,224.80x = 421,345.14 × 234,142.47
  4. Step 4: Simplify right side
    281,224.80x = 98,654,791,802.10
  5. Step 5: Solve for x
    x = 98,654,791,802.10/281,224.80
  6. Step 6: Final answer
    x = 350,804.03

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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.